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If A=[[3,-3,4],[2,-3,4],[0,-1,1]] , then...

If `A=[[3,-3,4],[2,-3,4],[0,-1,1]]` , then

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If A= {:[(3,-3,4),(2,-3,4),(0,-1,1)] , show that A^4=I , Hence find A^-1

For the matrix A = [(3,-3,4),(2,-3,4),(0,-1,1)] , show that A^3 = A^-1

If A =[{:(3,-3,4),(2,-3,4),(0,-1,1):}] and B is the adjoint of A, find the value of |AB+2I| ,where l is the identity matrix of order 3.

If A = [[1,2,-3],[5,0,2],[1,-1,1]], B = [[3,-1,2],[4,2,5],[2,0,3]] and C = [[4,1,2],[0,3,2],[1,-2,3]] , then compute (A+B) and (B-C) . Also, verify that A + (B-C) = (A + B) - C .

If A_(0) = [[2 ,-2,-4],[-1,3,4],[1,-2,-3]] and B_(0) [[-4,-4,-4],[1,0,1],[4,4,3]] then find A_0 +B_0

If A_(0) = [[2 ,-2,-4],[-1,3,4],[1,-2,-3]] and B_(0)= [[-4,-4,-4],[1,0,1],[4,4,3]] then find A_0-B_O

If A_(0) = [[2 ,-2,-4],[-1,3,4],[1,-2,-3]] and B_(0)= [[-4,-4,-4],[1,0,1],[4,4,3]] then find A_0-B_O

Given A= [[5,0,4],[2,3,2],[1,2,1]] , B^-1 = [[1,3,3],[1,4,3],[1,3,4]] ,find (AB)^-1 .

If A = [[1,1,-1],[2,0,3],[3,-1,2]], B = [[1,3],[0,2],[-1,4]] and C = [[1,2,3,-4],[2,0,-2,1]] , find A(BC) , (AB)C and show that (AB)C = A(BC)

A is an involuntary matrix given by A=[(0,1,-1),(4,-3,4),(3,-3,4)] , then the inverse of A//2 will be

MODERN PUBLICATION-DETERMINANTS-EXERCISE
  1. If A=[[3,-3,4],[2,-3,4],[0,-1,1]] , then

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  2. Let A be a square matrix of order 3xx3, then prove that |kA|=k|A|.

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  3. If any two rows (or columns) of a determinant are identical, the value...

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  4. Answer in one word. {:|(3,1,6),(5,2,10),(7,4,14)|

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  5. If A is a square matrix of order 3 and |3A| = k|A|, then write the val...

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  6. Write the value of the following determinant abs{:(a-b, b-c, c-a),(b-c...

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  7. Use properties of determinants ot evaluate: {:|(2,a,abc),(2,b,bca),(...

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  8. Use properties of determinants ot evaluate: {:|(x+y,y+z,z+x),(z,x,y)...

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  9. Evaluate |[102,18,36],[1,3,4],[17,3,6]|

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  10. Use properties of determinants ot evaluate: {:|(2,3,1),(4,6,2),(1,3,...

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  11. Use properties of determinants ot evaluate: {:|(2,3,5),(261,592,127)...

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  12. Show that x=1 is a root of the equation: {:|(x+1,2x,-11),(2x,x+1,-4...

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  13. If p,q,r ar in A.P. write the value of : {:|(x+1,x+2,x+2p),(x+2,x+3,...

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  14. Without expanding, prove that the following determinant vanishes. |...

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  15. Without actual expansion, prove that the following determinants vanish...

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  16. Without actual expansion, prove that the following determinants vanish...

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  17. Without actual expansion, prove that the following determinants vanish...

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  18. Without actual expansion, prove that the following determinants vanish...

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  19. Without actual expansion, prove that the following determinants vanish...

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  20. Without expanding, prove that Delta = abs{:(x+y, y + z, z+ x),(z, x ,...

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  21. Without expanding, prove that : |{:(1, bc, a(b+ c) ),(1, ca, b ( c+ a)...

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