question 29 points 2

if $a=\begin{bmatrix} 5 & -4 \\ 3 & 2 \end{bmatrix}$, then find $|a|$.

-12

22

Question

question 29 points 2

if $a=\begin{bmatrix} 5 & -4 \\ 3 & 2 \end{bmatrix}$, then find $|a|$.

-12

22

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 Determinant" ], "new_concepts": [], "current_concepts": [ "Matrix Determinant" ] } ## Identify the given matrix and target Using the *Matrix Determinant* knowledge point $$ A = \begin{bmatrix} 5 & -4 \ 3 & 2 \end{bmatrix} $$ We need to find the determinant $|A|$. ## Apply the determinant formula Using the *Matrix Determinant* knowledge point $$ \begin{aligned} |A| &= (5)(2) - (-4)(3) \ &= 10 - (-12) \ &= 10 + 12 \ &= 22 \end{aligned} $$

-12

22

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

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QUESTION IMAGE

Question

Explanation:

Identify the given matrix and target

Apply the determinant formula

Answer: