Q8. Use matrices A, B, and C聽 to fi... [FREE SOLUTION]

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Chapter 4: Q8. (page 164)

Use matrices A, B, and C to find the following.
$A = [\begin{matrix} 2 & 3 \\ 5 & 6 \end{matrix}], B = [\begin{matrix} 鈭� 1 & 7 \\ 0 & 4 \end{matrix}], C = [\begin{matrix} 9 & 鈭� 4 \\ 鈭� 6 & 5 \end{matrix}]$
$A + B + C$

Short Answer

Expert verified

The final matrix after performing the indicated matrix operations is

$A + B + C = [\begin{matrix} 10 & 6 \\ 鈭� 1 & 15 \end{matrix}]$

Step by step solution

- Substitute the matrices

Substitute $[\begin{matrix} 2 & 3 \\ 5 & 6 \end{matrix}]$ for A, $[\begin{matrix} 鈭� 1 & 7 \\ 0 & 4 \end{matrix}]$ for B and $[\begin{matrix} 9 & 鈭� 4 \\ 鈭� 6 & 5 \end{matrix}]$ for C into $A + B + C$

$A + B + C = [\begin{matrix} 2 & 3 \\ 5 & 6 \end{matrix}] + [\begin{matrix} 鈭� 1 & 7 \\ 0 & 4 \end{matrix}] + [\begin{matrix} 9 & 鈭� 4 \\ 鈭� 6 & 5 \end{matrix}]$

- Perform the matrix addition

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 sum of the corresponding elements.

$\begin{array}{l} A + B + C = [\begin{matrix} 2 & 3 \\ 5 & 6 \end{matrix}] + [\begin{matrix} 鈭� 1 & 7 \\ 0 & 4 \end{matrix}] + [\begin{matrix} 9 & 鈭� 4 \\ 鈭� 6 & 5 \end{matrix}] \\ = [\begin{matrix} 2 鈭� 1 + 9 & 3 + 7 鈭� 4 \\ 5 + 0 鈭� 6 & 6 + 4 + 5 \end{matrix}] \end{array}$

- Simplify

Further simplify the matrix.

$\begin{array}{l} A + B + C = [\begin{matrix} 2 鈭� 1 + 9 & 3 + 7 鈭� 4 \\ 5 + 0 鈭� 6 & 6 + 4 + 5 \end{matrix}] \\ = [\begin{matrix} 10 & 6 \\ 鈭� 1 & 15 \end{matrix}] \end{array}$

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91影视

Use matrices A, B, and C to find the following.
$A = [\begin{matrix} 2 & 3 \\ 5 & 6 \end{matrix}], B = [\begin{matrix} 鈭� 1 & 7 \\ 0 & 4 \end{matrix}], C = [\begin{matrix} 9 & 鈭� 4 \\ 鈭� 6 & 5 \end{matrix}]$
$A + B + C$

Short Answer

Step by step solution

- Substitute the matrices

- Perform the matrix addition

- Simplify

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91影视

Use matrices A, B, and C to find the following.A=2356,B=鈭�1704,C=9鈭�4鈭�65A+B+C

Short Answer

Step by step solution

- Substitute the matrices

- Perform the matrix addition

- Simplify

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Logic and Functions

Mechanics Maths

Calculus

Statistics

Pure Maths

Theoretical and Mathematical Physics

Study anywhere. Anytime. Across all devices.

Use matrices A, B, and C to find the following.
$A = [\begin{matrix} 2 & 3 \\ 5 & 6 \end{matrix}], B = [\begin{matrix} 鈭� 1 & 7 \\ 0 & 4 \end{matrix}], C = [\begin{matrix} 9 & 鈭� 4 \\ 鈭� 6 & 5 \end{matrix}]$
$A + B + C$