Chapter 4: Q6. (page 174)

Perform the indicated matrix operations.
$[\begin{matrix} 3 & 0 \\ 7 & 12 \end{matrix}] - [\begin{matrix} 6 & - 5 \\ 4 & - 1 \end{matrix}]$

Short Answer

Expert verified

The answer is $[\begin{matrix} - 3 & 5 \\ 3 & 13 \end{matrix}]$

Step by step solution

- State the definition of a matrix.

A rectangular array of numbers arranged in rows and columns is called a matrix.

- Solve the matrix.

Matrices can be subtracted if they are of the same dimension.

Here, both the matrices are of dimension $(2 \times 2)$ that is both are of same dimension. Then subtraction can be performed.

Subtract the corresponding elements

localid="1648728572696" $\begin{matrix} [\begin{matrix} 3 & 0 \\ 7 & 12 \end{matrix}] - [\begin{matrix} 6 & - 5 \\ 4 & - 1 \end{matrix}] = [\begin{matrix} 3 - 6 & 0 - (- 5) \\ 7 - 4 & 12 - (- 1) \end{matrix}] \\ = [\begin{matrix} - 3 & 0 + 5 \\ 3 & 12 + 1 \end{matrix}] \\ = [\begin{matrix} - 3 & 5 \\ 3 & 13 \end{matrix}] \end{matrix}$

- State the conclusion.

Therefore, the resultant matrix is $[\begin{matrix} - 3 & 5 \\ 3 & 13 \end{matrix}]$

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Perform the indicated matrix operations.
$[\begin{matrix} 3 & 0 \\ 7 & 12 \end{matrix}] - [\begin{matrix} 6 & - 5 \\ 4 & - 1 \end{matrix}]$

Short Answer

Step by step solution

- State the definition of a matrix.

- Solve the matrix.

- State the conclusion.

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Perform the indicated matrix operations.30712−6−54−1

Short Answer

Step by step solution

- State the definition of a matrix.

- Solve the matrix.

- State the conclusion.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Applied Mathematics

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Theoretical and Mathematical Physics

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Mechanics Maths

Study anywhere. Anytime. Across all devices.

Perform the indicated matrix operations.
$[\begin{matrix} 3 & 0 \\ 7 & 12 \end{matrix}] - [\begin{matrix} 6 & - 5 \\ 4 & - 1 \end{matrix}]$