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Recent questions and answers in Matrices
Questions
>>
CBSE XII
>>
Math
>>
Matrices
If
A
=
[
2
0
0
0
2
0
0
0
2
]
,
t
h
e
n
A
5
=
?
cbse
class12
additionalproblem
kvquestionbank2012
ch3
q18
p8
math
sec-a
answered
Dec 25, 2018
by
awokekefale2018
1
answer
If
A
=
[
3
1
7
5
]
find x and y such that
A
2
+
x
l
=
y
A
.
F
i
n
d
A
−
1
.
cbse
class12
additionalproblem
kvquestionbank2012
ch3
q16
p8
math
sec-b
answered
Jun 20, 2018
by
vasuloki708
1
answer
Find the value of
x
,
y
,
z
if the matrix.
[
0
2
y
z
x
y
−
z
x
−
y
z
]
satisfy the equation
A
T
A
=
I
3
cbse
class12
maths
ch3
sec-b
answered
Dec 21, 2016
by
priyanka.c
1
answer
If
A
=
[
x
−
2
3
7
]
and
A
−
1
=
[
7
34
1
17
3
34
2
17
]
then find the value of
x
.
cbse
class12
maths
ch3
sec-b
answered
Dec 20, 2016
by
priyanka.c
1
answer
For what value of
λ
, the matrix
[
1
λ
0
3
−
1
2
4
1
5
]
is singular ?
cbse
class12
maths
ch3
sec-a
answered
Dec 20, 2016
by
priyanka.c
1
answer
Three shopkeepers X,Y and Z go to a store to buy stationery items. X purchases 12 dozen marker pens, 5 dozen ink pen and 6 dozen pencils. Y purchases 10 dozen marker pens, 6 dozen ink pen and 7 dozen pencils. Z purchases 11 dozen marker pens, 13 dozen ink pens and 8 dozen pencils. A marker pen cost Rs 40/- , a pen costs Rs. 7/- and a pencil Rs. 1 /- each. Using matrix multiplication calculate the individual bills of X, Y and Z.
cbse
class12
maths
ch3
sec-c
answered
Dec 9, 2016
by
priyanka.c
1
answer
For what values of
x
and
y
are the following matrices equal ?
A
=
[
2
x
+
1
3
y
0
y
2
−
5
y
]
,
B
=
[
x
+
3
y
2
+
2
0
−
6
]
cbse
class12
maths
ch3
sec-e
answered
Dec 8, 2016
by
priyanka.c
1
answer
If A and B are symmetric matrices, prove that AB - BA is a skew symmetric matrix
cbse
class12
maths
ch3
sec-e
answered
Dec 6, 2016
by
priyanka.c
1
answer
If
A
=
[
1
tan
x
−
tan
x
1
]
, Evaluate
A
T
A
−
1
cbse
class12
maths
sec-c
ch3
answered
Dec 1, 2016
by
priyanka.c
1
answer
Find the value of x if
[
x
−
5
−
1
]
[
1
0
2
0
2
1
2
0
3
]
[
x
4
1
]
=
0
cbse
class12
maths
ch3
sec-b
answered
Nov 23, 2016
by
priyanka.c
1
answer
Evalute :
|
152
24
40
3
7
1
19
3
5
|
cbse
class12
maths
sec-a
ch4
answered
Nov 23, 2016
by
priyanka.c
1
answer
Use matrix method to examine if the following system of equation for consistency or inconsistency
4
x
−
2
y
=
3
,
6
x
−
3
y
=
5
cbse
class12
maths
sec-e
ch3
answered
Nov 22, 2016
by
priyanka.c
1
answer
Without expanding evaluate:
|
1
a
a
2
b
c
1
b
b
2
c
a
1
c
c
2
a
b
|
cbse
class12
maths
sec-e
ch4
answered
Nov 22, 2016
by
priyanka.c
1
answer
Using elementary row transformation, find the inverse of
A
=
[
2
−
6
1
−
2
]
cbse
class12
maths
sec-e
ch3
answered
Nov 21, 2016
by
priyanka.c
1
answer
Solve the system of equation
2
x
+
5
y
=
1
a
n
d
3
x
+
2
y
=
7
cbse
class12
maths
sec-e
ch4
answered
Nov 20, 2016
by
priyanka.c
1
answer
Find X and Y, if
X
+
Y
=
[
5
2
0
9
]
and
X
−
Y
=
[
3
6
0
−
1
]
cbse
class12
maths
sec-e
ch3
answered
Nov 20, 2016
by
priyanka.c
1
answer
If
A
=
[
cos
θ
−
sin
θ
sin
θ
cos
θ
]
, then find the value of
θ
satisfying the equation
A
T
+
A
=
I
2
cbse
class12
maths
sec-e
ch3
answered
Nov 20, 2016
by
priyanka.c
1
answer
Find the equation of the line joining (1,3) and B (0, 0) using determinants and find K if D (K,0) is a point such that area of
△
A
B
D
is 3 sq. units
cbse
class12
maths
sec-e
ch4
answered
Nov 18, 2016
by
priyanka.c
1
answer
If
A
=
[
9
1
7
8
]
,
B
=
[
1
5
7
12
]
find matrix C such that 5A + 3B + 2C is a null matrix.
cbse
class12
maths
sec-e
ch3
answered
Nov 17, 2016
by
priyanka.c
1
answer
If
(
a
+
4
3
b
8
−
6
)
=
(
2
a
+
2
b
+
2
8
a
−
8
b
)
, write the value of
a
−
2
b
.
cbse
class12
ch3
modelpaper-2014
sec-a
easy
math
answered
Mar 21, 2014
by
balaji.thirumalai
1
answer
The number of all possible matrices of order 3 x 3 with each entry 0 or 1 is?
cl1434
cbse
class12
ch3
sec-a
easy
additionalproblem
math
asked
Feb 18, 2014
by
balaji.thirumalai
1
answer
If
A
=
[
2
s
e
c
−
1
x
−
1
c
o
s
e
c
−
1
x
]
is a singular matrix then find the value of
x
cbse
class12
matrices
additionalproblem
medium
sec-a
ch3
math
jeemain
matrices-and-determinants
answered
Feb 6, 2014
by
rvidyagovindarajan_1
1
answer
If
A
=
[
2
3
5
−
2
]
then express
A
−
1
in terms of
A
cbse
class12
additionalproblem
ch3
sec-a
math
answered
Jan 30, 2014
by
rvidyagovindarajan_1
1
answer
Given
A
=
[
3
−
3
4
2
−
3
4
0
−
1
1
]
How can we express
A
−
1
in terms of A?
cbse
class12
additionalproblem
sec-a
matrices-and-determinants
jeemain
ch3
math
difficult
answered
Jan 29, 2014
by
balaji
1
answer
If the matrix
[
0
a
3
2
b
−
1
c
1
0
]
is a skew symmetric matrix,find the values of a,b and c.
cbse
class12
ch3
q45
p58
short-answer
exemplar
sec-b
medium
qod
math
answered
Jul 17, 2013
by
sharmaaparna1
1
answer
Find the value of
α
if
A
=
[
cos
α
sin
α
−
sin
α
cos
α
]
and
A
−
1
=
A
′
cbse
class12
ch3
q44
p58
short-answer
exemplar
sec-b
easy
math
answered
Jul 17, 2013
by
sharmaaparna1
1
answer
If A and B are matrices of same order ,then (AB'-BA') is a
cbse
class12
ch3
q63
p61
objective
exemplar
easy
sec-a
math
answered
Jul 13, 2013
by
sharmaaparna1
1
answer
If A is matrix of order
m
×
n
and B is a matrix such that AB' and B'A are both defined,then order of matrix B is
cbse
class12
ch3
q62
p61
objective
exemplar
sec-a
easy
math
answered
Jul 13, 2013
by
sharmaaparna1
1
answer
If
P
(
x
)
=
[
cos
x
sin
x
−
sin
x
cos
x
]
,then show that
P
(
x
)
.
P
(
y
)
=
P
(
x
+
y
)
=
P
(
y
)
.
P
(
x
)
.
cbse
class12
ch3
q46
p58
short-answer
easy
sec-b
exemplar
math
answered
Jul 13, 2013
by
sharmaaparna1
1
answer
If A=
[
1
2
2
2
1
2
2
2
1
]
verify that
A
2
−
4
A
−
5
I
=
0.
cbse
class12
additionalproblem
ch3
sec-c
easy
math
answered
Jul 12, 2013
by
sharmaaparna1
1
answer
Using elementary transformations, find the inverse of the following matrix :
[
1
2
3
2
5
7
−
2
−
4
−
5
]
cbse
class12
modelpaper
2012
sec-c
q23
ch3
easy
math
answered
Apr 6, 2013
by
sharmaaparna1
1
answer
True or False: If
A
=
[
2
3
1
1
4
2
]
a
n
d
B
=
[
2
3
4
5
2
1
]
,
then AB and BA are defined and equal.
cbse
class12
ch3
q99
p64
true-or-false
exemplar
sec-a
easy
math
answered
Apr 5, 2013
by
sharmaaparna1
1
answer
The number of all possible matrices of order
2
×
2
with each entry 0 & 1.
(
A
)
27
(
B
)
18
(
C
)
81
(
D
)
16
cbse
class12
additionalproblem
ch3
sec-a
math
answered
Apr 4, 2013
by
sreemathi.v
1
answer
If A and B are skew symmetric matrices,then prove that ABA is skew symmetric.
cbse
class12
additionalproblem
ch3
sec-a
math
answered
Apr 4, 2013
by
sreemathi.v
1
answer
If
A
=
[
3
1
7
5
]
find x & y such that
A
2
+
x
I
=
y
A
cbse
class12
additionalproblem
ch3
sec-c
math
answered
Apr 4, 2013
by
sreemathi.v
1
answer
If A=
[
3
2
1
1
]
find the values of a and b, such that
A
2
+
a
A
+
b
I
=
0.
cbse
class12
math
additionalproblem
ch3
sec-a
jeemain
matrices-and-determinants
matrices
easy
answered
Apr 4, 2013
by
sreemathi.v
1
answer
Find
A
−
1
if it exists by using elementary transformations where A=
[
6
−
3
−
2
1
]
cbse
class12
additionalproblem
ch3
sec-b
math
answered
Apr 4, 2013
by
sreemathi.v
1
answer
Find the inverse of the following matrices if it exists using elementary operations
[
2
−
6
1
−
2
]
cbse
class12
additionalproblem
ch3
sec-c
math
answered
Apr 4, 2013
by
sreemathi.v
1
answer
If A and B are square matrices of the same order,then
(
A
B
)
′
=
________
.
cbse
class12
ch3
q76
q76-1
p63
fitb
exemplar
sec-a
easy
math
answered
Apr 4, 2013
by
sharmaaparna1
1
answer
If A and B are square matrices of the same order,then
(
i
i
)
(
k
A
)
′
=
________
.
(k is any scalar)
cbse
class12
ch3
q76
q76-2
p63
fitb
exemplar
sec-a
easy
math
answered
Apr 4, 2013
by
sharmaaparna1
1
answer
If A and B are square matrices of the same order,then
(
i
i
i
)
[
k
(
A
−
B
)
′
]
=
________
.
cbse
class12
ch3
q76
q76-3
p63
fitb
exemplar
sec-a
easy
math
answered
Apr 4, 2013
by
sharmaaparna1
1
answer
Find the inverse of the following matrices if it exists using elementary operations
[
2
5
1
3
]
cbse
class12
additionalproblem
ch3
sec-c
math
answered
Apr 4, 2013
by
sreemathi.v
1
answer
Find the transpose of the matrix
[
1
3
2
6
5
−
3
]
cbse
class12
additionalproblem
ch3
sec-a
math
answered
Apr 4, 2013
by
sreemathi.v
1
answer
If
A
=
[
1
−
1
2
3
]
and
B
=
[
2
1
1
0
]
prove that
(
A
+
B
)
2
≠
A
2
+
2
A
B
+
B
2
cbse
class12
additionalproblem
ch3
sec-c
math
answered
Apr 4, 2013
by
sreemathi.v
1
answer
If A and B are symmetric matrices,then
A
B
−
B
A
i
s
a
_______
cbse
class12
ch3
q78
q78-1
p63
fitb
exemplar
easy
sec-a
math
answered
Apr 4, 2013
by
sharmaaparna1
1
answer
If A and B are symmetric matrices,then
(
i
i
)
B
A
−
2
A
B
i
s
a
_______
cbse
class12
ch3
q78
q78-2
p63
fitb
exemplar
easy
sec-a
math
answered
Apr 4, 2013
by
sharmaaparna1
1
answer
If
A
=
[
0
1
0
0
]
prove that for all
n
∈
N
.
(
a
I
+
b
A
)
n
=
a
n
I
+
n
a
n
−
1
b
A
.
where I is the identity matrix of order 2.
cbse
class12
additionalproblem
ch3
sec-c
math
answered
Apr 4, 2013
by
sreemathi.v
1
answer
If A=
[
c
o
s
θ
−
s
i
n
θ
s
i
n
θ
c
o
s
θ
]
.Then show that
A
n
=
[
c
o
s
n
θ
−
s
i
n
n
θ
s
i
n
n
θ
c
o
s
n
θ
]
where n is a positive integer.
cbse
class12
additionalproblem
ch3
sec-c
math
answered
Apr 4, 2013
by
sreemathi.v
1
answer
Find matrix X if
X
+
[
2
5
3
−
1
]
=
[
3
4
2
0
]
cbse
class12
additionalproblem
ch3
sec-a
math
answered
Apr 4, 2013
by
sreemathi.v
1
answer
Use product of AB where
A
=
[
1
−
1
2
0
2
−
3
3
−
2
4
]
a
n
d
B
=
[
−
2
0
1
9
2
−
3
6
1
−
2
]
<br> to solve the system of equations :
x
−
y
+
2
z
=
1
2
y
−
3
z
=
1
3
x
−
2
y
+
4
z
=
2
cbse
class12
modelpaper
2012
sec-c
q23
ch3
math
answered
Apr 4, 2013
by
meena.p
1
answer
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