Recent questions tagged easy

Is the function $f (x) = 5x – 3$ continuous at $x=-3$

asked Apr 4, 2013 by balaji.thirumalai

1 answer

Is the function $f(x) = 5x-3$ continous at $x=0$?

asked Apr 4, 2013 by balaji.thirumalai

1 answer

If A=$\begin{bmatrix}3 & 2\\1 & 1\end{bmatrix}$ find the values of a and b, such that $A^2+aA+bI=0.$

asked Apr 4, 2013 by sreemathi.v

1 answer

If A and B are square matrices of the same order,then $(iii)\quad [k(A-B)']=\text{________}.$

asked Apr 3, 2013 by sreemathi.v

1 answer

If A and B are square matrices of the same order,then $(ii)\quad (kA)'=\text{________}.$(k is any scalar)

asked Apr 3, 2013 by sreemathi.v

1 answer

If A and B are symmetric matrices,then $(ii)\quad BA-2AB\;is\;a\;\text{_______}$

asked Apr 3, 2013 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 (iii) Write the elements $a_{13},a_{21}.a_{33},a_{24},a_{23}$ .

asked Apr 3, 2013 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 (ii) The number of elements .

asked Apr 3, 2013 by sreemathi.v

1 answer

Find the transpose of each of the following matrices : $ (iii)\begin{bmatrix} -1&5&6 \\ \sqrt 3 & 5&6\\2 &3&-1 \end{bmatrix} $.

asked Apr 3, 2013 by sreemathi.v

1 answer

Find the transpose of each of the following matrices : $ (ii)\begin{bmatrix} 1&-1 \\ 2 & 3 \end{bmatrix} $.

asked Apr 3, 2013 by sreemathi.v

1 answer

Find the value of x if : $ \begin{bmatrix} 2 & 3 \\ 4 & 5 \end{bmatrix} = \begin{bmatrix} x & 3 \\ 2x & 5 \end{bmatrix} $

asked Apr 2, 2013 by sreemathi.v

1 answer

Examine the consistency of the following system of equation. If it is consistent than solve the same. $x-4y+7z=14\;,3x+8y-2z=13\;,7x-8y+26z=5 $

asked Mar 30, 2013 by poojasapani_1

1 answer

Examine the consistency of the following system of equation. If it is consistent than solve the same. $x+y+z=7\;,x+2y+3z=18\;,y+2z=6 $

asked Mar 30, 2013 by poojasapani_1

1 answer

Let the function $f\;:\;R \rightarrow R$ be defined by$ f(x)=\cos x,\forall \;x\;\in R$. What kind of a function is f?

asked Mar 30, 2013 by balaji.thirumalai

1 answer

Let C be the set of complex numbers. What kind of a mapping defines $f\; :\;C \rightarrow R\;given\;by\;f(z)=|\;z\;|,\forall\; z \in C$?

asked Mar 30, 2013 by balaji.thirumalai

1 answer

Solve the following non-homogeneous system of linear equation by determinant method : $3x+y-z=2\;,2x-y+2z=6\;,2x+y-2z=-2 $

asked Mar 29, 2013 by poojasapani_1

1 answer

Solve the following non-homogeneous system of linear equation by determinant method : $ 2x+y-z=4\;,x+y-2z=0\;,3x+2y-3z=4 $

asked Mar 29, 2013 by poojasapani_1

1 answer

Solve the following non-homogeneous system of linear equation by determinant method : $x+y+z=4\;,x-y+z=2\;,2x+y-z=1 $

asked Mar 29, 2013 by poojasapani_1

1 answer

Solve the following non-homogeneous system of linear equation by determinant method: $2x+3y=5\;,4x+6y=12 $

asked Mar 29, 2013 by poojasapani_1

1 answer

Solve the following non-homogeneous system of linear equation by determinant method : $3x+2y=5\;,x+3y=4$

asked Mar 29, 2013 by poojasapani_1

1 answer

Find the rank of the following matrix :$\begin{bmatrix} 3 & 1 & 2 &0 \\1 & 0 & -1 &0 \\2 & 1 & 3 &0 \end{bmatrix}$

asked Mar 29, 2013 by poojasapani_1

1 answer

Solve by matrix inversion method following system of linear equation:$\;2x\;-\;y\;=7\;,\;3x\;-2y\;=11$

asked Mar 29, 2013 by poojasapani_1

1 answer

If$A=\begin{bmatrix} 5 & 2 \\7 & 3 \end{bmatrix}$and$B=\begin{bmatrix} 2 & -1 \\-1 & 1 \end{bmatrix}$ verify that$(AB)^{T}=B^{T}A^{T}$

asked Mar 28, 2013 by poojasapani_1

1 answer

Find the adjoint of the following matrics;$\begin{bmatrix} 2& 5 & 3 \\3 & 1 & 2 \\1 & 2 & 1 \end{bmatrix}$

asked Mar 27, 2013 by poojasapani_1

1 answer

Find the adjoint of the following matrices:$\begin{bmatrix} 1 & 2 & 3 \\0 & 5 & 0 \\2 & 4 & 3 \end{bmatrix}$

asked Mar 27, 2013 by poojasapani_1

1 answer

Find the adjoint of the following matrices $\begin{bmatrix} 3 & -1 \\2 & -4& \end{bmatrix}$

asked Mar 27, 2013 by poojasapani_1

1 answer

Define a binary operation $\ast$ on the set $\{0, 1, 2, 3, 4, 5\}$ as \[ a \ast b = \left\{ \begin{array} {1 1} a+b, & \quad \text{ if a$+$b $<$ 6} \\ a+b-6, & \quad \text{ if a+b $\geq$ 6} \\ \end{array} \right. \] Zero is the identity for this operation. True or False?

asked Mar 20, 2013 by balaji.thirumalai

1 answer

Consider a binary operation $\ast$ on the set $\{1, 2, 3, 4, 5\}$ given by the following multiplication table (Table 1.2). \begin{matrix} *&1&2&3&4&5 \\ 1&1&1&1&1&1 \\ 2&1&2&1&2&1 \\ 3&1&1&3&1&1 \\ 4&1&2&1&4&1 \\ 5&1&1&1&1&5 \end{matrix} (iii) Compute $(2 \ast 3) \ast (4 \ast 5)$

asked Mar 20, 2013 by balaji.thirumalai

1 answer

Consider a binary operation $\ast$ on the set $\{1, 2, 3, 4, 5\}$ given by the following multiplication table (Table 1.2). \begin{matrix} *&1&2&3&4&5 \\ 1&1&1&1&1&1 \\ 2&1&2&1&2&1 \\ 3&1&1&3&1&1 \\ 4&1&2&1&4&1 \\ 5&1&1&1&1&5 \end{matrix} (ii) is $\ast$ commutative?

asked Mar 20, 2013 by balaji.thirumalai

1 answer

Consider a binary operation $\ast$ on the set $\{1, 2, 3, 4, 5\}$ given by the following multiplication table (Table 1.2). \begin{matrix} &1&2&3&4&5 \\ 1&1&1&1&1&1 \\ 2&1&2&1&2&1 \\ 3&1&1&3&1&1 \\ 4&1&2&1&4&1 \\ 5&1&1&1&1&5 \end{matrix} (i) Compute $(23)4$ and $2(3*4)$

asked Mar 20, 2013 by balaji.thirumalai

1 answer

State whether the following statement is true or false. Justify. ii) If $\ast$ is a commutative binary operation on N, then $a \ast (b \ast c) = (c \ast b) \ast a$.

asked Mar 20, 2013 by balaji.thirumalai

1 answer

State whether the following statements are true or false. Justify. (i) For an arbitrary binary operation $\ast$ on a set N, $a \ast a=a \forall a \in N$

asked Mar 20, 2013 by balaji.thirumalai

1 answer

Find which of the operations given below has identity:$(vi)\;\; a \ast b = ab^2$

asked Mar 19, 2013 by meena.p

1 answer

Find which of the operations given below has identity:$(v)\;\; a \ast b = \large\frac {ab} {4}$

asked Mar 19, 2013 by meena.p

1 answer

Find which of the operations given below has identity: $(iv)\;\; a \ast b = (a-b)^2$

asked Mar 19, 2013 by meena.p

1 answer