If A=[{:(1,2),(2,1):}] then show that A^...

If `A=[{:(1,2),(2,1):}]` then show that `A^(2)-3I=2A`.

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ARIHANT PRAKASHAN-MATRICES-Topic - 01 (Topic Test 1)

In the matrix A=[{:(a,1,x),(2,sqrt(3),x^(2)-y),(0,5,-2//5):}] Write ...
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If [{:(x-y,2x+z),(2x-y,3z+w):}]=[{:(-1,5),(0,13):}] then find x,y,z an...
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If matrix A=[a(ij)](2xx2) where a(ij)={{:(2,i ne j),(0, i=j):} then wr...
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Construct a 3xx2 matrix, whose elements are given by a(ij)=e^(ix)sinjx...
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Find X and Y, if X+Y=[{:(7,0),(2,5):}] and X-Y=[{:(3,0),(0,3):}]
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If A=[{:(1,-2,3),(-4,2,5):}] and B=[{:(2,3),(4,5),(2,1):}] then find A...
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If M( theta)=[{:(cos theta,sintheta),(-sintheta, cos theta):}] then sh...
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If A is a square matrix such that A^(2)=I, then find the simplified va...
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If A=[{:(1,2),(2,1):}] then show that A^(2)-3I=2A.
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Find the value of k, if M=[{:(1,2),(2,3):}] and M^(2)-kM-I(2)=O
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Express the matrix A=[{:(2,4,-6),(7,3,5),(1,-2,4):}] as the sum of a s...
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If A=[{:(1,2,2),(2,1,-2),(x,2,y):}] is a matrix satisfying AA=9I, then...
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If A and B are matrices of the same order and AB=BA then prove that ...
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