Engineering Board Exam Reviewer · Determinants · easy

Evaluate vmatrix2&1&3\0&3&4\0&0&5 vmatrix.

  1. 30
  2. 10
  3. 15
  4. 0

Answer

A. 30

Solution

For a triangular matrix the determinant is the product of the diagonal entries: 2·3·5=30.

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  1. Evaluate the determinant of bmatrix4&3\2&5 bmatrix.
  2. Evaluate the determinant of bmatrix2&0&1\3&1&2\1&0&3 bmatrix.
  3. Evaluate the determinant of bmatrix1&2&3\0&1&4\5&6&0 bmatrix.
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  5. If (A)=5 and (B)=3, find (AB).
  6. Evaluate the determinant of the upper triangular matrix bmatrix3&7&2\0&5&1\0&0&4 bmatrix.
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  8. Evaluate the determinant of bmatrix0&1&2\1&0&3\2&3&0 bmatrix.
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