Matrices Practice Questions Ques6
Question: If $A = \begin{pmatrix} 1 & 2 \\ 3 & 4 \end{pmatrix}$ and $B = \begin{pmatrix} 2 & 0 \\ 1 & 3 \end{pmatrix}$, what is $A - B$?
Options:
(A) $\begin{pmatrix} -1 & 2 \\ 2 & 1 \end{pmatrix}$
(B) $\begin{pmatrix} -1 & 2 \\ 2 & 3 \end{pmatrix}$
(C) $\begin{pmatrix} -1 & 2 \\ 2 & 1 \end{pmatrix}$
(D) $\begin{pmatrix} -1 & 2 \\ 2 & 0 \end{pmatrix}$
Show Answer
Answer: C
Explanation:
(A) Incorrect. This is not the correct result of the matrix subtraction.
(B) Incorrect. This is not the correct result of the matrix subtraction.
(C) Correct. Matrix subtraction is performed element-wise: $\begin{pmatrix} 1-2 & 2-0 \\ 3-1 & 4-3 \end{pmatrix} = \begin{pmatrix} -1 & 2 \\ 2 & 1 \end{pmatrix}$.
(D) Incorrect. This is not the correct result of the matrix subtraction.
BETA
