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For the matrix A = `[(3,2),(1,1)]` find the numbers a and b such that A² + aA + bI = O.

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NCERT Mathematics Textbook for Class 12 Part 1

Chapter 4: Determinants
Q: 14 | Page no. 132

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if A = `[(3,1),(-1,2)]` show that A2 – 5A + 7I = O. Hence find A^–1.

The monthly incomes of Aryan and Babban are in the ratio 3 : 4 and their monthly expenditures are in the ratio 5 : 7. If each saves Rs 15,000 per month, find their monthly incomes using matrix method. This problem reflects which value?

Find the inverse of each of the matrices (if it exists).

`[(2,1,3),(4,-1,0),(-7,2,1)]`

Choose the correct answer.

If x, y, z are nonzero real numbers, then the inverse of matrix A = `[(x,0,0),(0,y,0),(0,0,z)]` is

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`[(2,3),(-4,-6)]`

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Solution for question: For the Matrix a = [(3,2),(1,1)] Find the Numbers A And B Such That A2 + Aa + Bi = O. concept: Adjoint and Inverse of a Matrix. For the courses CBSE (Arts), CBSE (Commerce), CBSE (Science)

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Solution - For the Matrix a = [(3,2),(1,1)] Find the Numbers A And B Such That A2 + Aa + Bi = O. - Adjoint and Inverse of a Matrix

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