question 34 points 1

consider $y = \begin{bmatrix} 0 & 0 & 0 \\ 0 & 0 & 0 \\ 0 & 0 & 0 \end{bmatrix}$, $x = \begin{bmatrix} 1 & 3 & 7 \\ 2 & 2 & 8 \\ 1 & 6 & 9 \end{bmatrix}$. find $yx$.

- y
- x

Question

question 34 points 1

consider $y = \begin{bmatrix} 0 & 0 & 0 \\ 0 & 0 & 0 \\ 0 & 0 & 0 \end{bmatrix}$, $x = \begin{bmatrix} 1 & 3 & 7 \\ 2 & 2 & 8 \\ 1 & 6 & 9 \end{bmatrix}$. find $yx$.

- y
- x

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 $$ Y = \begin{bmatrix} 0 & 0 & 0 \ 0 & 0 & 0 \ 0 & 0 & 0 \end{bmatrix}, \quad X = \begin{bmatrix} 1 & 3 & 7 \ 2 & 2 & 8 \ 1 & 6 & 9 \end{bmatrix} $$ ## Compute the product YX Using the *Matrix Multiplication* knowledge point $$ YX = \begin{bmatrix} 0 & 0 & 0 \ 0 & 0 & 0 \ 0 & 0 & 0 \end{bmatrix} \begin{bmatrix} 1 & 3 & 7 \ 2 & 2 & 8 \ 1 & 6 & 9 \end{bmatrix} = \begin{bmatrix} 0 & 0 & 0 \ 0 & 0 & 0 \ 0 & 0 & 0 \end{bmatrix} = Y $$

(A) $Y$

(B) $X$

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

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Explanation:

Identify the given matrices

Compute the product YX

Answer: