MadeEasy Full Length Test 2019: Engineering Mathematics - Linear Algebra

Question

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A square matrix that does not have a matrix inverse. A matrix is singular iff its determinant is 0

apply cayley Hamilton theorem . replace A with lamda and equate to 0.

then solve .

you will get lamda1 = 0 ,lamda2= 0 and lamda3 = 2.

Answer 1

If we apply the cayley hamilton theorum, the Cayley–Hamilton theorem states that every square matrix satisfies its own characteristic equation.

so 2 is one of the possible value for eigen values

And A is singular means that its determinant is 0