Let A=[2−1−3−4] A = \begin{bmatrix} 2 & -1 \ -3 & -4 \end{bmatrix}, B=[−20−13] B = \begin{bmatrix} -2 & 0 \ -1 & 3 \end{bmatrix}.Which of the following statements is correct?

Question

BlackTom AI · Accepted Answer

The question provides matrices A and B and asks which statement is correct, but the list of answer options is not present. To still engage with the content, I will verify the given candidate statement and show how to assess such options.
First, identify the matrix A from the prompt: A = [[2, -1], [-3, -4]]. To check a scalar multiple, multiply each entry of A by the scalar in question.
Second, consider the proposed expression: -3A. Compute each entry by multiplying A's corresponding entry by -3:
- Top-left: 2 * (-3) = -6
- Top-right: (-1) * (-3) = 3
- Bottom-left: (-3) * (-3) = 9
- Bottom-right: (-4) * (-3) = 12
Thus, -3A = [[-6, 3], [9, 12]].
Now compare this result to the statement given: 'c. -3A = [[-6, 3], [9, 12]]'. The numerical result matches exactly, confirming that, at least for this specific claim, the equality holds true.
If there were other statements to compare, you would apply the same approach to each: compute the scalar multiplication on A (or B, if involved) and verify whether the resulting matrix matches the stated expression. Discrepancies would reveal incorrect options, while a precise match confirms correctness.
Note on completeness: since no other answer options are provided in the data, there is no basis here to discuss potential alternatives or distractors. In a typical multiple-choice setup, you would examine each option for consistency with standard matrix operations (associativity, distributivity, scalar multiplication, and the definition of the identity with respect to matrix scaling).

Let A=[2−1−3−4] A = \begin{bmatrix} 2 & -1 \\ -3 & -4 \end{bmatrix}, B=[−20−13] B = \begin{bmatrix} -2 & 0 \\ -1 & 3 \end{bmatrix}.Which of the following statements is correct?Single choice

Similar Questions

Let \( A = \begin{bmatrix} 2 & -1 \\ -3 & -4 \end{bmatrix}\), \( B = \begin{bmatrix} -2 & 0 \\ -1 & 3 \end{bmatrix}\).Which of the following statements is correct?

The matrix \(N = \left[ {\begin{array}{{20}{c}}{43}\\{27}\end{array}} \right]\;\begin{array}{{20}{c}}{Males}\\{Females}\end{array}\) lists the number of males and females in a group of 70 people. The matrix P that lists the percentage of males and females in the same group of people is given by:

The matrix \(N = \left[ {\begin{array}{{20}{c}}{43}\\{27}\end{array}} \right]\;\begin{array}{{20}{c}}{Males}\\{Females}\end{array}\) lists the number of males and females in a group of 70 people. The matrix P that lists the percentage of males and females in the same group of people is given by:

Please match the following to the letters label on the image[Fill in the blank]

In Australia, voting is compulsory in what elections?[Fill in the blank]

What are the colours of the Australian Aboriginal Flag?[Fill in the blank]

What do we remember on Anzac Day?[Fill in the blank]

More Practical Tools for Students Powered by AI Study Helper

Homework AI Solver

Stylized AI Paper Writer

Plagiarism Checker Assistant

Citation AI Academic Writing Tool

In-Class Translation Assistant

AI Note Generator

AI Quiz Answers

Past Exam Questions from University Test Bank

Smart Practice Assistant

Adaptive Practice

Making Your Study Simpler

Let A=[2−1−3−4] A = \begin{bmatrix} 2 & -1 \\ -3 & -4 \end{bmatrix}, B=[−20−13] B = \begin{bmatrix} -2 & 0 \\ -1 & 3 \end{bmatrix}.Which of the following statements is correct?Single choice

Similar Questions

Let \( A = \begin{bmatrix} 2 & -1 \\ -3 & -4 \end{bmatrix}\), \( B = \begin{bmatrix} -2 & 0 \\ -1 & 3 \end{bmatrix}\).Which of the following statements is correct?

The matrix \(N = \left[ {\begin{array}{*{20}{c}}{43}\\{27}\end{array}} \right]\;\begin{array}{*{20}{c}}{Males}\\{Females}\end{array}\) lists the number of males and females in a group of 70 people. The matrix P that lists the percentage of males and females in the same group of people is given by:

The matrix \(N = \left[ {\begin{array}{*{20}{c}}{43}\\{27}\end{array}} \right]\;\begin{array}{*{20}{c}}{Males}\\{Females}\end{array}\) lists the number of males and females in a group of 70 people. The matrix P that lists the percentage of males and females in the same group of people is given by:

Please match the following to the letters label on the image[Fill in the blank]

In Australia, voting is compulsory in what elections?[Fill in the blank]

What are the colours of the Australian Aboriginal Flag?[Fill in the blank]

What do we remember on Anzac Day?[Fill in the blank]

More Practical Tools for Students Powered by AI Study Helper

Making Your Study Simpler

The matrix \(N = \left[ {\begin{array}{{20}{c}}{43}\\{27}\end{array}} \right]\;\begin{array}{{20}{c}}{Males}\\{Females}\end{array}\) lists the number of males and females in a group of 70 people. The matrix P that lists the percentage of males and females in the same group of people is given by:

The matrix \(N = \left[ {\begin{array}{{20}{c}}{43}\\{27}\end{array}} \right]\;\begin{array}{{20}{c}}{Males}\\{Females}\end{array}\) lists the number of males and females in a group of 70 people. The matrix P that lists the percentage of males and females in the same group of people is given by: