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Find the inverse the matrix (if it exist...

Find the inverse the matrix (if it exists)given in`[0 0 0 0cosalphasinalpha0sinalpha-cosalpha]`

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The correct Answer is:
` {:(1,0,0),(0,cos alpha , sin alpha ),(0, sin alpha ,-cos alpha ):}`
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If alphaandbeta are not the multiple of (pi)/(2)and [{:(cos^(2)alpha,cosalphasinalpha),(cosalphasinalpha,sin^(2)alpha):}]xx[{:(cos^(2)beta,sinbetacosbeta),(sinbetacosbeta,sin^(2)beta):}]=[{:(0,0),(0,0):}] then alpha-beta is ......

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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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