question 21 points 2

if $ b = \begin{bmatrix} 4 & -1 \\ 7 & 3 \end{bmatrix} $, then find $ |b| $ (the determinant of b).

$ \bigcirc $ 5

$ \bigcirc $ 19

Question

question 21 points 2

if $ b = \begin{bmatrix} 4 & -1 \\ 7 & 3 \end{bmatrix} $, then find $ |b| $ (the determinant of b).

$ \bigcirc $ 5

$ \bigcirc $ 19

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 Using the *Matrix Determinant* knowledge point $$ B = \begin{bmatrix} 4 & -1 \ 7 & 3 \end{bmatrix} $$ ## Apply the determinant formula Using the *Matrix Determinant* knowledge point $$ \begin{aligned} |B| &= (4)(3) - (-1)(7) \ &= 12 - (-7) \ &= 12 + 7 \ &= 19 \end{aligned} $$

5

19

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

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Question

Explanation:

Identify the given matrix

Apply the determinant formula

Answer: