Answer :

Given: , and A2 = λA + μI


Now, we will find the matrix for A2, we get

[as cij = ai1b1j + ai2b2j + … + ainbnj]

Now, we will find the matrix for λA, we get

But given, A2 = λA + μI

Substitute corresponding values from eqn(i) and (ii), we get

[as rij = aij + bij + cij],

And to satisfy the above condition of equality, the corresponding entries of the matrices should be equal

Hence, λ + 0 = 4 λ = 4

And also, 2λ + μ = 7

Substituting the obtained value of λ in the above equation, we get

2(4) + μ = 7 8 + μ = 7 μ = – 1

Therefore, the value of λ and μ are 4 and – 1 respectively

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