Q4. Perform the indicated matrix ope... [FREE SOLUTION]

Chapter 4: Q4. (page 163)

Perform the indicated matrix operation. If the matrix doesn鈥檛 exist, write impossible.
4. $[\begin{matrix} 5 & 8 & 鈭� 4 \end{matrix}] + [\begin{matrix} 12 & 5 \end{matrix}]$

Short Answer

Expert verified

Impossible, since the subtraction of the matrices is $[\begin{matrix} 5 & 8 & 鈭� 4 \end{matrix}] + [\begin{matrix} 12 & 5 \end{matrix}]$ doesn鈥檛 exist.

Step by step solution

- Define concept of matrix addition

If A and B are two matrices of order $m 脳 n$ , then the addition of the two matrices will also yield a matrix of order $m 脳 n$ 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 $[\begin{matrix} 5 & 8 & 鈭� 4 \end{matrix}]$ is $1 脳 3$ and dimension of matrix $[\begin{matrix} 12 & 5 \end{matrix}]$ is $1 脳 2$ , 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鈥檛 exist, write impossible.
4. $[\begin{matrix} 5 & 8 & 鈭� 4 \end{matrix}] + [\begin{matrix} 12 & 5 \end{matrix}]$

Short Answer

Step by step solution

- Define concept of matrix addition

- Represent matrix addition in symbols

- Perform the matrix addition, if possible

One App. One Place for Learning.

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91影视

Perform the indicated matrix operation. If the matrix doesn鈥檛 exist, write impossible.4.58鈭�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

Decision Maths

Applied Mathematics

Discrete Mathematics

Statistics

Pure Maths

Calculus

Study anywhere. Anytime. Across all devices.

Perform the indicated matrix operation. If the matrix doesn鈥檛 exist, write impossible.
4. $[\begin{matrix} 5 & 8 & 鈭� 4 \end{matrix}] + [\begin{matrix} 12 & 5 \end{matrix}]$