Matrix Operations — Engineering Board Exam Practice Questions

8 free engineering board exam reviewer questions on Matrix Operations (Advanced Engineering Mathematics), each with the correct answer and a worked solution.

1. Given A= bmatrix1&2\3&4 bmatrix and B= bmatrix5&6\7&8 bmatrix, find A+B.
2. Given A= bmatrix2&1\0&3 bmatrix and B= bmatrix1&4\2&1 bmatrix, find AB.
3. Find the transpose of A= bmatrix1&2&3\4&5&6 bmatrix.
4. Given A= bmatrix3&1\2&4 bmatrix, find 2A.
5. Given A= bmatrix4&2\1&3 bmatrix and B= bmatrix1&0\2&5 bmatrix, find A-B.
6. If A is a 2×3 matrix and B is a 3×2 matrix, what are the dimensions of the product AB?
7. Given A= bmatrix1&2\3&4 bmatrix, find A2.
8. For what value of k does the matrix bmatrix3&k\7&5 bmatrix become symmetric?