Chapter 4: Q4. (page 163)

Perform the indicated matrix operation. If the matrix doesn’t exist, write impossible.
4. $[\begin{matrix} 5 & 8 & - 4 \end{matrix}] + [\begin{matrix} 12 & 5 \end{matrix}]$

Short Answer

Expert verified

Impossible, since the subtraction of the matrices is $[\begin{matrix} 5 & 8 & - 4 \end{matrix}] + [\begin{matrix} 12 & 5 \end{matrix}]$ doesn’t exist.

Step by step solution

- Define 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 addition of the corresponding elements.

- Represent matrix addition in symbols

In order to find $[\begin{matrix} a & b & c \\ d & e & f \\ g & h & i \end{matrix}] + [\begin{matrix} p & q & r \\ s & t & u \\ v & w & x \end{matrix}]$ , subtract corresponding elements of both the matrices.

$[\begin{matrix} a & b & c \\ d & e & f \\ g & h & i \end{matrix}] + [\begin{matrix} p & q & r \\ s & t & u \\ v & w & x \end{matrix}] = [\begin{matrix} a + p & b + q & c + r \\ d + s & e + t & f + u \\ g + v & h + w & i + x \end{matrix}]$

- Perform the matrix addition, if possible

Since the dimension of the matrix $[\begin{matrix} 5 & 8 & - 4 \end{matrix}]$ is $1 \times 3$ and dimension of matrix $[\begin{matrix} 12 & 5 \end{matrix}]$ is $1 \times 2$ , therefore, matrix addition is not possible since the dimension of the matrix is not same..

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Perform the indicated matrix operation. If the matrix doesn’t exist, write impossible.
4. $[\begin{matrix} 5 & 8 & - 4 \end{matrix}] + [\begin{matrix} 12 & 5 \end{matrix}]$

Short Answer

Step by step solution

- Define concept of matrix addition

- Represent matrix addition in symbols

- Perform the matrix addition, if possible

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Perform the indicated matrix operation. If the matrix doesn’t exist, write impossible.4.58−4+125

Short Answer

Step by step solution

- Define concept of matrix addition

- Represent matrix addition in symbols

- Perform the matrix addition, if possible

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Pure Maths

Logic and Functions

Geometry

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Decision Maths

Study anywhere. Anytime. Across all devices.

Perform the indicated matrix operation. If the matrix doesn’t exist, write impossible.
4. $[\begin{matrix} 5 & 8 & - 4 \end{matrix}] + [\begin{matrix} 12 & 5 \end{matrix}]$