Question: "Write the matrix equation as a system of..."

DofotheroU

Answered question

2021-02-09

Write the matrix equation as a system of linear equations without matrices.

[\begin{matrix} 2 & 0 & - 1 \\ 0 & 3 & 0 \\ 1 & 1 & 0 \end{matrix}] [\begin{matrix} x \\ y \\ z \end{matrix}] = [\begin{matrix} 6 \\ 9 \\ 5 \end{matrix}]

Answer & Explanation

yunitsiL

Skilled2021-02-10Added 108 answers

Step 1
Given

[\begin{matrix} 2 & 0 & - 1 \\ 0 & 3 & 0 \\ 1 & 1 & 0 \end{matrix}] [\begin{matrix} x \\ y \\ z \end{matrix}] = [\begin{matrix} 6 \\ 9 \\ 5 \end{matrix}]

Step 2
System of linear equation

2 x + 0 y - z = 6

0 x + 3 y + 0 z = 9

x + y + 0 z = 5

Now simplify these equation we get

2 x - z = 6

3 y = 9

x + y = 5

Jeffrey Jordon

Expert2022-01-27Added 2575 answers

Answer is given below (on video)

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