Answer :


We need to find A2 – 5A – 14I.

We know A2 = A × A.

Now, we evaluate –5A = –5 × A.

Finally, matrix –14I = –14 × I.

The given expression is A2 – 5A – 14I.

On multiplying both sides with matrix A, we get

A (A2 – 5A – 14I) = O

A3 – 5A2 – 14(A × I) = O

A3 – 5A2 – 14A = O

A3 = 5A2 + 14A

Thus, and .

Rate this question :

How useful is this solution?
We strive to provide quality solutions. Please rate us to serve you better.
Try our Mini CourseMaster Important Topics in 7 DaysLearn from IITians, NITians, Doctors & Academic Experts
Dedicated counsellor for each student
24X7 Doubt Resolution
Daily Report Card
Detailed Performance Evaluation
view all courses

Using matrices, sMathematics - Board Papers

If possible, usinMathematics - Exemplar

If possible, usinMathematics - Exemplar

Using matrices, sMathematics - Board Papers

Prove that <span Mathematics - Board Papers

Find the value ofMathematics - Board Papers

If A is a <span lMathematics - Board Papers