question 36 points 1
consider $a = \begin{bmatrix} 2 & 3 \\ 4 & 5 \end{bmatrix}$, $b = \begin{bmatrix} 0 & 0 \\ 0 & 0 \end{bmatrix}$. find $ab$.

$\circ \begin{bmatrix} 1 & 0 \\ 0 & 1 \end{bmatrix}$
$\circ \begin{bmatrix} 0 & 0 \\ 0 & 0 \end{bmatrix}$

Question

question 36 points 1
consider $a = \begin{bmatrix} 2 & 3 \\ 4 & 5 \end{bmatrix}$, $b = \begin{bmatrix} 0 & 0 \\ 0 & 0 \end{bmatrix}$. find $ab$.

$\circ \begin{bmatrix} 1 & 0 \\ 0 & 1 \end{bmatrix}$
$\circ \begin{bmatrix} 0 & 0 \\ 0 & 0 \end{bmatrix}$

Accepted Answer

{ "quality": "clear", "question_count": 1, "skills_matched": [ "step_cot", "multiple_choice_formatter", "explain_then_answer", "tutor", "mastery_adaptive_brevity" ], "needs_drawing": false, "concepts_used": [ "Matrix Multiplication" ], "new_concepts": [], "current_concepts": [ "Matrix Multiplication", "Zero Matrix" ] } ## Identify the given matrices Using the *Matrix Multiplication* knowledge point $$ A = \begin{bmatrix} 2 & 3 \ 4 & 5 \end{bmatrix}, \quad B = \begin{bmatrix} 0 & 0 \ 0 & 0 \end{bmatrix} $$ ## Compute the product AB Using the *Matrix Multiplication* knowledge point $$ AB = \begin{bmatrix} 2 & 3 \ 4 & 5 \end{bmatrix} \begin{bmatrix} 0 & 0 \ 0 & 0 \end{bmatrix} = \begin{bmatrix} 2(0) + 3(0) & 2(0) + 3(0) \ 4(0) + 5(0) & 4(0) + 5(0) \end{bmatrix} = \begin{bmatrix} 0 & 0 \ 0 & 0 \end{bmatrix} $$

(A) $\begin{bmatrix} 1 & 0 \ 0 & 1 \end{bmatrix}$

(B) $\begin{bmatrix} 0 & 0 \ 0 & 0 \end{bmatrix}$

{ "subject": "Mathematics", "question_type": "Multiple Choice", "knowledge_point": [ "Mathematics", "Algebra", "Matrix Multiplication" ] }

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Question

Explanation:

Identify the given matrices

Compute the product AB

Answer: