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Verify A (adj A) = ( adj A) A= |A| I in ...

Verify A (adj A) = ( adj A) A= |A| I in Excercises 3 and 4 ` {:[( 2,3),(-4,-6) ]:} `

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Verify A(adjA)=(adjA) A=|A| I in following examples (3) and (4) [{:(2,3),(-4,-6):}]

Verify A(adjA)=(adjA) A=|A| I in following examples (3) and (4) [{:(1,-1,2),(3,0,-2),(1,0,3):}]

Find adj A for A = {:[( 2,3),( 1,4) ]:}

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Verify: The value of the determinant remains unchanged if its rows and columns are interchanged. Delta=|{:(2,-3,5),(6,0,4),(1,5,-7):}|

For the matrices A and B, verify that (AB)'=B'A. (i) A=[{:(1),(3),(6):}],B=[2" "4," "5] (ii) A=[{:(5,3,-1),(2,0,4):}]B=[{:(-3,2),(2,1),(-1,0):}]

Let A be a square matrix of order of order 3 satisfies the matrix equation A^(3) -6 A ^(2) + 7 A - 8 I = O and B = A- 2 I . Also, det A = 8. The value of det (adj(I-2A^(-1))) is equal to

NCERT GUJARATI-DETERMINANTS -EXERCISE 4.5
  1. Find the adjoint of each of the matrices in questions 1 and 2. [{:(1...

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  2. Find the adjoint of the matrices [{:(1,-1,2),(2,3,5),(-2,0,1):}]

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  3. Verify A (adj A) = ( adj A) A= |A| I in Excercises 3 and 4 {:[( 2,3),...

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  4. If A = {:((1,-1,2),(3,0,-2),(1,0,3)):}, verify that A (adj A) = |A|* I...

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  5. Find the inverse of each of the matrices (if it exists ) {:[( 2,-2),...

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  6. Find the inverse of each of the matrices given below : [(3,-5),(-1,...

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  7. Find the inverse of each of the matrices (if it exists ) {:[( 1,2,3),...

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  8. Find the inverse of each of the matrices (if it exists ) {:[( 1,0,0)...

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  9. Find the inverse of each of the matrices (if it exists ) {:[( 2,1,3...

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  10. Find the inverse of each of the matrices given below : Computer (A...

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  11. Find the inverse the matrix (if it exists)given in[0 0 0 0cosalphasina...

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  12. Let A=[3 7 2 5]and B=[6 8 7 9]. Verify that (A B)^(-1)=B^(-1)A^(-1).

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  13. if A=[{:(3,1),(-1,2):}],show that A^(2)-5A+7I=0.

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  14. Solve system of linear equations, using matrix method, x y" "+" "2...

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  15. For the matrix A=[1 1 1 1 2-3 2-1 3] . Show that A^3-6A^2+5A+11\ I3=O ...

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  16. If A=[2-1 1-1 2-1 1-1 2] . Verify that A^3-6A^2+9A-4I=O and hence find...

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  17. Let A be a nonsingular square matrix of order 3xx3.Then |adj A| is equ...

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  18. If A is an invertible matrix of order 2, then det (A^(-1))is equal to...

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