Recent questions tagged p64

Find the values of x,y and z from the following equations: $(iii)\;\begin{bmatrix}x+y+z\\x+z\\y+z\end{bmatrix}=\begin{bmatrix}9\\5\\7\end{bmatrix}$

asked Feb 27, 2013 by balaji.thirumalai

1 answer

Find the values of x,y and z from the following equations:$ (ii)\;\begin{bmatrix}x+y & z\\5+z & xy\end{bmatrix}=\begin{bmatrix}6 & 2\\5 & 8\end{bmatrix}\qquad$

asked Feb 27, 2013 by balaji.thirumalai

1 answer

Find the values of x,y and z from the following equations:$(i)\begin{bmatrix}4 & 3\\x & 5\end{bmatrix}=\begin{bmatrix}y & z\\1 & 5\end{bmatrix}\qquad$

asked Feb 27, 2013 by balaji.thirumalai

1 answer

Construct a 3 x 4 matrix,whose elements are given by:$(i)\;a_{ij}=\frac{1}{2}| -3i+j\;| \qquad$

asked Feb 27, 2013 by balaji.thirumalai

1 answer

Construct a 2 x 2 matrix, $A=[a_{ij}],$whose elements are given by:$ (ii) a_{ij}=\frac{i}{j}\qquad$

asked Feb 27, 2013 by balaji.thirumalai

1 answer

Construct a $2 \times 2$ matrix, $A=[a_{ij}],$whose elements are given by: $a_{ij}=\frac{(i+j)^2}{2}\qquad$

asked Feb 27, 2013 by balaji.thirumalai

1 answer

If a matrix has 5 elements,what are the possible orders can it have?

asked Feb 27, 2013 by balaji.thirumalai

1 answer

If a matrix has 18 elements,what are the possible orders it can have?

asked Feb 27, 2013 by balaji.thirumalai

1 answer

If a matrix has 13 elements,what are the possible orders it can have? (Note: This question has been split into 2 questions)

asked Feb 27, 2013 by balaji.thirumalai

1 answer

If a matrix has 24 elements,what are the possible orders it can have? (Note: This question has been split into 2 questions)

asked Feb 27, 2013 by balaji.thirumalai

1 answer

True or False: $(AB)^{-1}=A^{-1}B^{-1},$ where A and B are invertible matrices satisfying commutative property with respect to multiplication.

asked Dec 24, 2012 by sreemathi.v

1 answer

True or False: If A is skew symmetric matrix, then $A^2$ is a symmetric matrix.

asked Dec 24, 2012 by sreemathi.v

1 answer

True or False: If $A =\begin{bmatrix} 2 & 3 & 1 \\ 1 &4 & 2 \end{bmatrix}\; and\; B=\begin{bmatrix}2 & 3 \\ 4& 5 \\ 2 & 1 \end{bmatrix},$ then AB and BA are defined and equal.

asked Dec 24, 2012 by sreemathi.v

1 answer

True or False: AA' is always a symmetric matrix for any matrix A.

asked Dec 24, 2012 by sreemathi.v

1 answer

True or False: If A,B and C are square matrices of same order, then AB = AC always implies that B=C.

asked Dec 24, 2012 by sreemathi.v

1 answer

True or False: If (AB)' = B'A', where A and B are not square matrices, then number of rows in A is equal to number of columns in B and number of columns in A is equal to number of rows in B.

asked Dec 24, 2012 by sreemathi.v

1 answer

True or False: If A and B are any two matrices of the same order, then (AB)' = A'B'.

asked Dec 24, 2012 by sreemathi.v

1 answer

In the matrix $A=\begin{bmatrix}2 & 5 & 19 & -7\\35 & -2 & \frac{5}{2} & 12\\\sqrt 3 & 1 & -5& 17\end{bmatrix},$write:\[(i)\;The\;order\;of\;the\;matrix,\qquad(ii)\;The\;number\;of\;the\;elements,\]\[(iii)\;Write\;the\;elements\;a_{13},a_{21},a_{33},a_{24},a_{23}\]

asked Dec 7, 2012 by sreemathi.v

1 answer

If a matrix has 24 elements,what are the possible orders it can have? What, if it has 13 elements?

asked Dec 7, 2012 by sreemathi.v

1 answer

If a matrix has 18 elements,what are the possible orders it can have?What, if it has 5 elements?

asked Dec 7, 2012 by sreemathi.v

1 answer

Construct a 2 x 2 matrix, $A=[a_{ij}],$whose elements are given by: $\;a_{ij}=\frac{(i+2j)^2}{2}$

asked Dec 7, 2012 by sreemathi.v

1 answer

Construct a 3 x 4 matrix,whose elements are given by: $\;a_{ij}=2i-j$

asked Dec 7, 2012 by sreemathi.v

1 answer

Find the values of x,y and z from the following equations:\[(i)\begin{bmatrix}4 & 3\\x & 5\end{bmatrix}=\begin{bmatrix}y & z\\1 & 5\end{bmatrix}\qquad(ii)\;\begin{bmatrix}x+y & z\\5+z & xy\end{bmatrix}=\begin{bmatrix}6 & 2\\5 & 8\end{bmatrix}\qquad(iii)\;\begin{bmatrix}x+y+z\\x+z\\y+z\end{bmatrix}=\begin{bmatrix}9\\5\\7\end{bmatrix}\]

asked Dec 7, 2012 by sreemathi.v

1 answer

Find the values of a,b,c and d from the question:
$\begin{bmatrix}a-b & 2a+c\\2a-b & 3c+d\end{bmatrix}$ = $\begin{bmatrix}-1 & 5\\0 & 13\end{bmatrix}$

asked Dec 7, 2012 by sreemathi.v

1 answer

Ask Questions, Get Answers