SOLUTION: Solve the system of equations:
3𝑥 + 4𝑦 − 6𝑧 + 𝑤 = 7
𝑥 − 2𝑦 + 3𝑧 − 2𝑤 = −1
𝑥 − 3𝑦 + 4𝑧 − 𝑤 = −2
5𝑥 − 𝑦 + 𝑧 − 2𝑤
Algebra.Com
Question 1182333: Solve the system of equations:
3𝑥 + 4𝑦 − 6𝑧 + 𝑤 = 7
𝑥 − 2𝑦 + 3𝑧 − 2𝑤 = −1
𝑥 − 3𝑦 + 4𝑧 − 𝑤 = −2
5𝑥 − 𝑦 + 𝑧 − 2𝑤 = 4
Find the rank of the matrix
𝐴 = (
−2 −1 −3 −1
1 2 3 −1
1 0 1 1
0 1 1 −1
)
Verify that the matrix 𝐵 satisfies its own characteristic equation and hence find its inverse
𝐵 = (
12 −1 4
−1 12 −1
4 −1 12
)
Answer by ikleyn(52778) (Show Source): You can put this solution on YOUR website!
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