If A=[{:(3,1),(-1,2):}] then prove that ...

If `A=[{:(3,1),(-1,2):}]` then prove that `A^(2)-5A+7I=O`

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ARIHANT PRAKASHAN-MATRICES-Topic - 01 ( Practice Questions (4 Mark Questions ) )

If A=[{:(1,2,3),(3,-2,1),(4,2,1):}] then show that A^(3)-23A-40I=O
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If A=[{:(1,2,0),(0,1,3),(-2,5,3):}] then verify that A+A is symmetric ...
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If A,B,C are matrices of order 2xx2 each and 2A+B+C =[[1,2],[3,0]] A+B...
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If the matrix A is such that [{:(1,-1),(2,3):}]A=[{:(-4,1),(7,7):}] th...
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If A=[{:(alpha,0),(1,1):}]"and"B=[{:(1,0),(5,1):}] show that for no va...
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If A =[[1,-2,2],[3,1,-1]] B[[2,4],[1,2],[3,-1]] "verify" "that" (AB)^...
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If A and B are square matrices of same order, then show by means of an...
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Find the product [{:(1,2,3),(2,3,4):}][{:(1,-2),(-2,3):}]
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If A=[[-1,3,5],[1,-3,-5],[-1,3,5]]Show that A^2=A.
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If A=[{:(3,1),(-1,2):}] then prove that A^(2)-5A+7I=O
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Find x, so that [{:(1,x,1):}][{:(1,3,2),(0,5,1),(0,3,2):}][{:(1),(1),(...
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If A=[{:(2,0,1),(2,1,3),(1,-1,0):}] then find the value of A^(2)-3A+2I
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Given that, A=[{:(4,0),(2k,5k):}] and B=[{:(k,0),(3,-1):}] such that A...
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Prove that the square matrix [{:(5,2),(3,-6):}] can be expressed as a ...
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If A=[{:(4,2),(-1,1):}] and I is the 2xx2 unit matrix, find (A-2I)(A-3...
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