Solve the matrix equation: 4[2x,y,3z]+3[2,−4,6]=[20,−4,54]

Burhan Hopper

Burhan Hopper

Answered question

2021-01-02

Solve the matrix equation: 4[2x,y,3z]+3[2,4,6]=[20,4,54]

Answer & Explanation

Szeteib

Szeteib

Skilled2021-01-03Added 102 answers

Solving this system means solving each of the following equations: 8x+6=20,
4y12=4,
and
12z+18=54
You can obtain these equations by performing scalar multiplication on the vectors given. From here, you just use basic algebra to find that the solutions are as follows:
x=14{8},y=2,andz=3.

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