Question 1

1. If a matrix A is of order 4 X 3, then each row of matrix contains elements :

Accepted Answer

3

Answer

12

Answer

4

Answer

None of these

Question 2

2. If A , B are symmetric matrices of same order, then AB - BA is a :

Accepted Answer

Skew - symmetric matrix

Answer

zero matrix

Answer

Symmetric matrix

Answer

Equal matrices

Question 3

3. If A = [ a _{i j}] _{m x n} is a rectangular matrix, then :

Accepted Answer

None of these

Answer

m < n

Answer

m = n

Answer

m > n

Question 4

4. If A= $\begin{bmatrix}
a & b \
c & -a
\end{bmatrix}$ is such that A²= I, then :

Accepted Answer

1 - a²- bc = 0

Answer

1 - a² + bc = 0

Answer

1 + a² + bc = 0

Answer

1 + a²- bc = 0

Question 5

5. ( A + B )^'= ?

Accepted Answer

A' + B'

Answer

A' - B'

Answer

A'  B'

Answer

B' - A'

Question 6

6. $\begin{bmatrix}
a & b \
c & -a
\end{bmatrix}$ = $\begin{bmatrix}
9 \
5 \
7
\end{bmatrix}$ , the value of x, y, z :

Accepted Answer

2, 4, 3

Answer

3, 4, 2

Answer

3, 2, 4

Answer

4, 2, 3

Question 7

7. Write the elements of first column in construction of a 2 X 2 matrix A = [ a _ij], where a_{ij = $-\frac{i}{j}$}

Accepted Answer

-1, -2

Answer

2, 1

Answer

1, $\begin{bmatrix}
a & b \
c & -a
\end{bmatrix}$

Answer

-1, $\begin{bmatrix}
a & b \
c & -a
\end{bmatrix}$

Question 8

8. If $\begin{bmatrix}
a & b \
c & -a
\end{bmatrix}$ $\begin{bmatrix}
1 & -3 \
-2 & 4
\end{bmatrix}$ , the elements of first row in product are :

Accepted Answer

-4, 6

Answer

4, 6

Answer

5, -15

Answer

4, -6

Question 9

9. A + A^'is a

Accepted Answer

Symmetric Matrix

Answer

None of these

Answer

Skew- symmetric Matrix

Answer

Symmetric & Skew- symmetric Matrix

Question 10

10. X + Y = $\begin{bmatrix}
a & b \
c & -a
\end{bmatrix}$ and X - Y = $\begin{bmatrix}
9 \
5 \
7
\end{bmatrix}$ , X and Y are :

Accepted Answer

$\begin{bmatrix}
4 & 3 \
1 & -1
\end{bmatrix}$ and $\begin{bmatrix}
1 & -3 \
-2 & 4
\end{bmatrix}$

Answer

$\begin{bmatrix}
a & b \
c & -a
\end{bmatrix}$ and $\begin{bmatrix}
9 \
5 \
7
\end{bmatrix}$

Answer

$\begin{bmatrix}
a & b \
c & -a
\end{bmatrix}$ and $\begin{bmatrix}
9 \
5 \
7
\end{bmatrix}$

Answer

$\begin{bmatrix}
a & b \
c & -a
\end{bmatrix}$ and $\begin{bmatrix}
9 \
5 \
7
\end{bmatrix}$

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