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Question

Consider the following 2 × 2 matrix A where two elements are unknown and are marked by a and b. The eigenvalues of this matrix are –1 and 7. What are the values of a and b?

A = | 1 4 |
| b a |

a.

a = 6, b = 4

b.

a = 4, b = 6

c.

a = 3, b = 5

d.

a = 5, b = 3

Answer: (d).a = 5, b = 3

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Q. Consider the following 2 × 2 matrix A where two elements are unknown and are marked by a and b. The eigenvalues of this matrix are –1 and 7. What are the values of a and b? A =...

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