question 35 points 2

consider $a = \begin{bmatrix} 5 & 5 \\ 2 & 4 \end{bmatrix}$. find $\|a\|$.

20
10

Question

question 35 points 2

consider $a = \begin{bmatrix} 5 & 5 \\ 2 & 4 \end{bmatrix}$. find $\|a\|$.

20
10

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 operation Using the *Matrix Determinant* knowledge point $$ A = \begin{bmatrix} 5 & 5 \ 2 & 4 \end{bmatrix} $$ The notation $|A|$ represents the determinant of the $2 \times 2$ matrix $A$. ## Calculate the determinant of the matrix Using the *Matrix Determinant* knowledge point $$ |A| = (5)(4) - (5)(2) = 20 - 10 = 10 $$

(A) 20

(B) 10

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

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Question

Explanation:

Identify the given matrix and target operation

Calculate the determinant of the matrix

Answer: