question 6 points 2

calculate $-2b$ if $b = \begin{bmatrix} 1.5 & 3 \\ 2.5 & 4 \\ -1 & 4.5 \end{bmatrix}$.

$\bigcirc \begin{bmatrix} 3 & 6 \\ 5 & 8 \\ -2 & 9 \end{bmatrix}$

$\bigcirc \begin{bmatrix} -3 & -6 \\ -5 & -8 \\ 2 & -9 \end{bmatrix}$

Question

question 6 points 2

calculate $-2b$ if $b = \begin{bmatrix} 1.5 & 3 \\ 2.5 & 4 \\ -1 & 4.5 \end{bmatrix}$.

$\bigcirc \begin{bmatrix} 3 & 6 \\ 5 & 8 \\ -2 & 9 \end{bmatrix}$

$\bigcirc \begin{bmatrix} -3 & -6 \\ -5 & -8 \\ 2 & -9 \end{bmatrix}$

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": [ "Scalar Multiplication" ], "new_concepts": [], "current_concepts": [ "Scalar Multiplication", "Matrix Representation" ] } ## Identify the given matrix and scalar Using the *Scalar Multiplication* knowledge point $$ B = \begin{bmatrix} 1.5 & 3 \ 2.5 & 4 \ -1 & 4.5 \end{bmatrix}, \quad k = -2 $$ ## Multiply each element by the scalar Using the *Scalar Multiplication* knowledge point $$ -2B = \begin{bmatrix} -2(1.5) & -2(3) \ -2(2.5) & -2(4) \ -2(-1) & -2(4.5) \end{bmatrix} = \begin{bmatrix} -3 & -6 \ -5 & -8 \ 2 & -9 \end{bmatrix} $$

(A) $\begin{bmatrix} 3 & 6 \ 5 & 8 \ -2 & 9 \end{bmatrix}$

(B) $\begin{bmatrix} -3 & -6 \ -5 & -8 \ 2 & -9 \end{bmatrix}$

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

Sovi.AI - AI Math Tutor

QUESTION IMAGE

Question

Explanation:

Identify the given matrix and scalar

Multiply each element by the scalar

Answer: