Find the Variables [[x,y,zx]]*4=[[12,24,36]]

Problem

[[x,y,z]]⋅4=[[12,24,36]]

Solution

1. Apply scalar multiplication to the row vector on the left side by multiplying each component by 4.

[[4*x,4*y,4*z]]=[[12,24,36]]

2. Set up equations by equating the corresponding components of the two vectors.

4*x=12

4*y=24

4*z=36

3. Solve for x by dividing both sides of the first equation by 4.

x=3

4. Solve for y by dividing both sides of the second equation by 4.

y=6

5. Solve for z by dividing both sides of the third equation by 4.

z=9

Final Answer

x=3,y=6,z=9

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