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

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

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

If A= {:[( 2,3),( 1,-4) ]:}and B = {:[( 1,-2),( -1,3) ]:} ,then verify that (AB)^(-1) =B^(-1) A^(-1)

Let A= {:[( 3,7),( 2,5) ]:} and B = {:[( 6,8),( 7,9) ]:} .Verify that (AB) ^(-1) =B^(-1) A^(-1)

If A = {:[(1,3,3),(1,4,3),(1,3,4) ]:} , then verify that A adj A = |A| I. Also find A^(-1)

If A = [(2,-1,2),(1,3,-4)], and B = [(1,-2),(-3,0),(5,4)] then verify that (AB)' = B'A'.

If U = {1, 2, 3, 4, 5, 6, 7, 8, 9 }, A = {2, 4, 6, 8} and B = { 2, 3, 5, 7} . Verify that (A ∩ B)′ = A′ ∪ B′

If U = {1, 2, 3, 4, 5, 6, 7, 8, 9 }, A = {2, 4, 6, 8} and B = { 2, 3, 5, 7} . Verify that (A ∪ B)′ = A′ ∩ B′

If A=[(3, sqrt(3), 2),(4,2,0)] and B=[(2,-1,2),(1,2,4)] , verify that (i) (A')'=A, (ii) (A+B)'=A'+B' , (iii) (kB)'=kB' , where k is any constant.

NCERT TELUGU-DETERMINANTS -EXERCISE 4.5
  1. Find adjoint of each of the matrices {:[( 1,2),( 3,4)]:}

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

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  3. Verify A (adj A) = ( adj A) A= |A| I {:[( 2,3),(-4,-6) ]:}

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  4. Find the descriminant of the matrix. {:[( 1,-1,2),( 3,0,-2),( 1,0,3) ...

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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 (if it exists ) {:[( 1,2,3),...

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

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

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

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

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  11. Let A= {:[( 3,7),( 2,5) ]:} and B = {:[( 6,8),( 7,9) ]:} .Verify t...

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  12. If A= {:[( 3,1),( -1,2) ]:} Show that A^(2) -5A +7I=O.Hence find A^(...

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  13. For the matrix A={:[( 3,2),( -1,2) ]:} . Find the numbers a and b su...

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  14. A={:[( 1,1,1),(1,2,-3),(2,-1,3)]:} Show that A^(3) - 6A^(2) +5A +1...

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  15. If A= {:[( 2,-1,1),(-1,2,-1),(1,-1,2) ]:} Verify that A^(3) -6A^...

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

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

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