Chapter 6: Q52. (page 391)

Perform the indicated matrix operation.
$[\begin{matrix} 5 & - 6 \\ - 9 & 4 \end{matrix}] + [\begin{matrix} 2 & - 3 \\ - 4 & 2 \end{matrix}]$

Short Answer

Expert verified

The addition of the matrices is $[\begin{matrix} 5 & - 6 \\ - 9 & 4 \end{matrix}] + [\begin{matrix} 2 & - 3 \\ - 4 & 2 \end{matrix}] = [\begin{matrix} 7 & - 9 \\ - 13 & 6 \end{matrix}]$ .

Step by step solution

Step 1. Define the concept of matrix addition.

If $A$ and $B$ are two matrices of order $m \times n$ , then the addition of the two matrices will also yield a matrix of order $m \times n$ wherein each element is the sum of the corresponding elements.

Step 2. Add corresponding elements.

In order to find $[\begin{matrix} 5 & - 6 \\ - 9 & 4 \end{matrix}] + [\begin{matrix} 2 & - 3 \\ - 4 & 2 \end{matrix}]$ , add corresponding elements of both the matrices.

$[\begin{matrix} 5 & - 6 \\ - 9 & 4 \end{matrix}] + [\begin{matrix} 2 & - 3 \\ - 4 & 2 \end{matrix}] = [\begin{matrix} 5 + 2 & - 6 - 3 \\ - 9 - 4 & 4 + 2 \end{matrix}]$

Step 3. Simplify the matrix.

Further simplify the matrix by adding the elements.

$\begin{matrix} [\begin{matrix} 5 & - 6 \\ - 9 & 4 \end{matrix}] + [\begin{matrix} 2 & - 3 \\ - 4 & 2 \end{matrix}] = [\begin{matrix} 5 + 2 & - 6 - 3 \\ - 9 - 4 & 4 + 2 \end{matrix}] \\ = [\begin{matrix} 7 & - 9 \\ - 13 & 6 \end{matrix}] \end{matrix}$

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Perform the indicated matrix operation.
$[\begin{matrix} 5 & - 6 \\ - 9 & 4 \end{matrix}] + [\begin{matrix} 2 & - 3 \\ - 4 & 2 \end{matrix}]$

Short Answer

Step by step solution

Step 1. Define the concept of matrix addition.

Step 2. Add corresponding elements.

Step 3. Simplify the matrix.

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Perform the indicated matrix operation.[5−6−94]+[2−3−42]

Short Answer

Step by step solution

Step 1. Define the concept of matrix addition.

Step 2. Add corresponding elements.

Step 3. Simplify the matrix.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Decision Maths

Logic and Functions

Mechanics Maths

Discrete Mathematics

Calculus

Statistics

Study anywhere. Anytime. Across all devices.

Perform the indicated matrix operation.
$[\begin{matrix} 5 & - 6 \\ - 9 & 4 \end{matrix}] + [\begin{matrix} 2 & - 3 \\ - 4 & 2 \end{matrix}]$