Engineering Board Exam Reviewer · Determinants · hard
Evaluate vmatrix1&2&0&1\2&1&3&0\0&1&1&2\1&0&2&1 vmatrix.
- 8
- -8
- -4
- -6
Answer
B. -8
Solution
Expand along the first row with signs +,-,+,-: 1· M11-2· M12+0· M13-1· M14. The 3×3 minors are M11=-6, M12=0, M14=2, so the determinant is -6-2(0)-(2)=-8.
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