If A(B + C) = AB + AC where A, B, C are matrices of the same order than the property applied is matrix multipication is _______ .

(a)

commutative

(b)

association

(c)

distributive over addition

(d)

distributive over multiplication

The product of any matrix by the scalar_________is the null matrix.

(a)

1

(b)

0

(c)

I

(d)

matrix itself

If A is a matrix 3 \(\times\) 3, then \({ { (A }^{ 2 }) }^{ -1 }\) =____________

(a)

\(\frac { 1 }{ { A }^{ 2 } } \)

(b)

A^-2

(c)

\({ { (A }^{ -1 }) }^{ 2 }\)

(d)

I

If \(\left( \begin{matrix} 2 & \lambda & -3 \\ 0 & 2 & 5 \\ 1 & 1 & 3 \end{matrix} \right) \) is a singular matrix, then \(\lambda \) is_____________

(a)

\(\lambda \)=2

(b)

\(\lambda \)≠2

(c)

\(\lambda =\frac { -8 }{ 5 } \)

(d)

\(\lambda \neq \frac { -8 }{ 5 } \)

If \(\begin{bmatrix} 4 & 3 \\ -2 & x \end{bmatrix}\) is singular then the value of x is _____________

(a)

\(\frac{3}{2}\)

(b)

-\(\frac{3}{2}\)

(c)

3

(d)

-2