Determine:[1 -12][2 3] +|0A. [2 9 -3]B. [9 12][2 -3]С. |48.11D.E. Geeneen vanbogenoemde. / Noneof the above.

Name: Determine:[1 -12][2 3] +|0A. [2 9 -3]B. [9 12][2 -3]С. |48.11D.E. Gee
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Description: Determine:[1 -12][2 3] +|0A. [2 9 -3]B. [9 12][2 -3]С. |48.11D.E. Geeneen vanbogenoemde. / Noneof the above.

Answered: Determine: 1 (1 -1 2] [2 3] +0 1

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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Question

Determine:
[1 -1
2]
[2 3] +|0
A. [2 9 -3]
B. [9 12]
[2 -3]
С. |4
8.
11
D.
E. Geeneen van
bogenoemde. / None
of the above.

Expert Solution

Step 1

given

$[\begin{matrix} 1 & - 1 & 2 \end{matrix}] \{[\begin{matrix} 4 \\ - 1 \\ 0 \end{matrix}] [\begin{matrix} 2 & 3 \end{matrix}] + [\begin{matrix} 1 & 0 \\ 0 & 1 \\ - 1 & - 1 \end{matrix}]\}$

solution

we will use property of matrix multiplication and addition to solve this

first of all simplify $[\begin{matrix} 4 \\ - 1 \\ 0 \end{matrix}] [\begin{matrix} 2 & 3 \end{matrix}]$

${[\begin{matrix} 4 \\ - 1 \\ 0 \end{matrix}]}_{3 \times 1} {[\begin{matrix} 2 & 3 \end{matrix}]}_{1 \times 2} = {[\begin{matrix} 4 \times 2 & 4 \times 3 \\ - 1 \times 2 & - 1 \times 3 \\ 0 \times 2 & 0 \times 3 \end{matrix}]}_{3 \times 2} = [\begin{matrix} 8 & 12 \\ - 2 & - 3 \\ 0 & 0 \end{matrix}]$

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