Matrices P1 Quiz

The order of the given matrix

$\left[ \begin{array}{cc} 2 & 7 \end{array} \right]$

is

A. 2 x 1
B. 2 x 2
C. 1 x 2
D. 1 x 1

A matrix A has an order m x n.

Matrix A is considered to be a square matrix if

A. m = n
B. m > n
C. m < n
D. m ≠ n

The elements of an identity matrix consist of

A. 0 only
B. 0 and1
C. 1 only
D. positive integers

Given two matrices

$M = \left[ \begin{array}{cc} a & 10 \\ 7 & b \end{array} \right]$ and $N = \left[ \begin{array}{cc} 5 & c \\ d & 9 \end{array} \right]$ and M = N

Then

A. a = 5, b = 7, c = 10, d = 9
B. a = 5, b = 9, c = 10, d = 7
C. a = 5, b = 10, c = 7, d = 9
D. a = 9 b = 7, c = 10, d = 5

Refer to matrices listed below.

$M = \left[ \begin{array}{cc} 4 & 5 \end{array} \right]$

$R = \left[ \begin{array}{cc} 4 & 5 \end{array} \right]$

$P = \left[ \begin{array}{c} 4 \\ 5 \end{array} \right]$

$F = \left[ \begin{array}{ccc} 1 & 0 & 0 \\ 0 & 1 & 0 \\ 0 & 0 & 1 \end{array} \right]$

$G = \left[ \begin{array}{cc} 1 & 0 \\ 0 & 1 \end{array} \right]$

$Q = \left[ \begin{array}{cc} 3 & 1 \\ 7 & 0 \end{array} \right]$

Which one is the false statement?

A. M = R
B. P is a column matrix
C. F is a square matrix
D. G = Q

Which of the following addition is possible?

$E = \left[ \begin{array}{ccc} 1 & 4 & 0 \\ 4 & 8 & 7 \end{array} \right]$

$F = \left[ \begin{array}{ccc} 1 & 0 & 0 \\ 0 & 1 & 0 \\ 0 & 0 & 1 \end{array} \right]$

$S = \left[ \begin{array}{cc} 6 & 2 \\ 6 & 5 \\ 3 & 7 \end{array} \right]$

$V = \left[ \begin{array}{cc} 3 & 0 \\ 6 & 1 \\ 2 & 5 \end{array} \right]$

$U = \left[ \begin{array}{cc} 4 & 6 \\ 5 & 9 \end{array} \right]$

$M = \left[ \begin{array}{cc} 4 & 5 \end{array} \right]$

$P = \left[ \begin{array}{c} 4 \\ 5 \end{array} \right]$

$Q = \left[ \begin{array}{cc} 3 & 1 \\ 7 & 0 \end{array} \right]$

A. E + F
B. S + V
C. Q + U
D. M + P

The result of S + V is

$S = \left[ \begin{array}{cc} 6 & 2 \\ 6 & 5 \\ 3 & 7 \end{array} \right]$ $V = \left[ \begin{array}{cc} 3 & 0 \\ 6 & 1 \\ 2 & 5 \end{array} \right]$

A. $\left[ \begin{array}{cc} 9 & 2 \\ 12 & 6 \\ 5 & 12 \end{array} \right]$
B. $\left[ \begin{array}{ccc} 9 & 12 & 5 \\ 2 & 6 & 12 \end{array} \right]$
C. $\left[ \begin{array}{cc} 2 & 9 \\ 6 & 12 \\ 12 & 5 \end{array} \right]$
D. $\left[ \begin{array}{cc} 12 & 6 \\ 9 & 2 \\ 5 & 12 \end{array} \right]$

The result of Q – N is

$Q = \left[ \begin{array}{cc} 3 & 1 \\ 7 & 0 \end{array} \right]$ $N = \left[ \begin{array}{cc} 2 & 8 \\ 3 & 9 \end{array} \right]$

A. $\left[ \begin{array}{cc} 5 & 9 \\ 10 & 9 \end{array} \right]$
B. $\left[ \begin{array}{cc} -1 & 7 \\ -4 & 9 \end{array} \right]$
C. $\left[ \begin{array}{cc} -9 & 4 \\ -7 & 1 \end{array} \right]$
D. $\left[ \begin{array}{cc} 1 & -7 \\ 4 & -9 \end{array} \right]$

3V is equal to

$V = \left[ \begin{array}{cc} 3 & 0 \\ 6 & 1 \\ 2 & 5 \end{array} \right]$

A. $\left[ \begin{array}{cc} 6 & 15 \\ 18 & 3 \\ 15 & 6 \end{array} \right]$
B. $\left[ \begin{array}{cc} 15 & 6 \\ 3 & 18 \\ 6 & 15 \end{array} \right]$
C. $\left[ \begin{array}{cc} 9 & 0 \\ 18 & 3 \\ 6 & 15 \end{array} \right]$
D. $\left[ \begin{array}{cc} 0 & 9 \\ 3 & 18 \\ 15 & 6 \end{array} \right]$

3Q – 2G is equal to

$Q = \left[ \begin{array}{cc} 3 & 1 \\ 7 & 0 \end{array} \right]$ $G = \left[ \begin{array}{cc} 1 & 0 \\ 0 & 1 \end{array} \right]$

A. $\left[ \begin{array}{cc} 7 & 3 \\ 21 & -2 \end{array} \right]$
B. $\left[ \begin{array}{cc} 21 & -2 \\ 7 & 3 \end{array} \right]$
C. $\left[ \begin{array}{cc} -2 & 21 \\ 3 & 7 \end{array} \right]$
D. $\left[ \begin{array}{cc} 21 & 7 \\ -2 & 3 \end{array} \right]$

Matrices P1 Quiz

Alain Mallet March 20, 2024

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