Find the Variables [[-12,-w^2],[2f,3]]=[[2k,-81],[-14,3]]

Problem

[[−12,−w2],[2*ƒ,3]]=[[2*k,−81],[−14,3]]

Solution

1. Equate the corresponding elements from the first row and first column of both matrices.

−12=2*k

2. Solve for k by dividing both sides by 2

k=−6

3. Equate the corresponding elements from the first row and second column.

−w2=−81

4. Solve for w by multiplying by −1 and taking the square root of both sides.

w2=81

w=±9

5. Equate the corresponding elements from the second row and first column.

2*ƒ=−14

6. Solve for ƒ by dividing both sides by 2

ƒ=−7

Final Answer

k=−6,w=±9,ƒ=−7

Want more problems? Check here!