If A=[[2,0,3,],[3,4,5,]],B=[[3,-1,2,],[0...

If `A=[[2,0,3,],[3,4,5,]],B=[[3,-1,2,],[0,2,3,]]`and `c=[[2,-3,0,],[1,4,5,]]` find `(A+B-C)^T`

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If A=[[2,0,3,],[3,4,5,]],B=[[3,-1,2,],[0,2,3,]] and c=[[2,-3,0,],[1,4,5,]] find A^T-B^T

If A=[[1,0,-2],[2,3,-1]], B=[[4,-1,3],[0,2,1]]"and" C=[[2,-3,0],[1,4,5]] "find " (A+B-C)^T

If A=[[1,0,-2],[2,3,-1]], B=[[4,-1,3],[0,2,1]]"and" C=[[2,-3,0],[1,4,5]] "find " A-3B+3C

If A=[[1,0,-2],[2,3,-1]], B=[[4,-1,3],[0,2,1]]"and" C=[[2,-3,0],[1,4,5]] "find "B^T-C^T .

If A=[[0,2,3],[2,1,4]] "and" B=[[7,6,3],[1,4,5]] "find " 2A+3B,2A-3B.

A=[{:(1,0,-2),(2,3,-1):}],B=[{:(4,-1,3),(0,2,1):}]andC=[{:(2,-3,0),(1,4,5):}] , find (A+B-C)^(T)

If A [[1,2,0],[1,1,0],[-1,4,0]],B=[[1,2,3],[1,1,-1],[1,1,1]]"and"C=[[1,2,3],[1,1,-1],[2,2,2]] Show that AB=AC though B !=C .Verify that: A+(B+C)=(A+B)+C

If A [[1,2,0],[1,1,0],[-1,4,0]],B=[[1,2,3],[1,1,-1],[1,1,1]]"and"C=[[1,2,3],[1,1,-1],[2,2,2]] Show that AB=AC though B '!=C .Verify that: A(B+C)=AB+AC

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

If A [[1,2,0],[1,1,0],[-1,4,0]],B=[[1,2,3],[1,1,-1],[1,1,1]]"and"C=[[1,2,3],[1,1,-1],[2,2,2]] Show that AB=AC though B !=C .Verify that: A(BC) =(AB)C

USHA PUBLICATION-MATRICES DETERMINANTS PROBABILITY -EXERCISE

Find the matrix B,if B^2=[[16,0,],[0,16,]].
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If A=[[1,2,],[3,4,]],B=[[-2,3,],[-1,2,]],show that (A+B)^T=A^T+B^T.
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If A=[[2,0,3,],[3,4,5,]],B=[[3,-1,2,],[0,2,3,]]and c=[[2,-3,0,],[1,4,5...
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If A=[[1,2,],[3,4,]],B=[[-2,3,],[-1,2,]],show that (A+B)^T=A^T+B^T.
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If A=[[2,0,3,],[3,4,5,]],B=[[3,-1,2,],[0,2,3,]]and c=[[2,-3,0,],[1,4,5...
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Find the matrix A if A^2=[[17,8,],[8,17,]].
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Verify that (AB)^-1=B^-1A^-1 if A=[[2,3,],[1,-1,]],B=[[0,1,],[3,1,]]
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Verify that (AB)^-1=B^-1A^-1 if A=[[1,2,3,],[4,5,6,],[7,8,9,]],B=[[1,2...
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If A=[[1,-1,1,],[2,-1,0,],[1,0,0,]],then show that A^2=A^-1.
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If A=[{:(3,1),(-1,2):}] then prove that A^(2)-5A+7I=O
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Show that the matrix A=[[2,3,],[1,2,]]satisfies the equation A^2-4A+I=...
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If A=[{:(costheta,sintheta),(-sintheta,costheta):}], then prove that ...
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Express the matrix A=[[4,2,-3],[1,3,-6],[-5,0,-7]] as the sum of symme...
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Examining consistency and solvability, solve the following equation by...
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Factorise the determinant |[x^3-a^3,x^2,x],[b^2-a^3,b^2,b],[c^3-a^3,c^...
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Prove the following: [[(b+c)^2,a^2,bc],[(c+a)^2,b^2,ca],[(a+b)^2,c^2...
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Show that |{:((b+c)^2,a^2,a^2),(b^2,(c+a)^2,b^2),(c^2,c^2,(a+b)^2):}...
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If D=abs((a,b,c),(c,a,b),(b,c,a)) and D'=abs((b+c,c+a,a+b),(a+b,b+c,c+...
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Show that abs((2(a+b+c),a,b),(2(a+b+c),b+c+2a,b),(2(a+b+c),a,c+a+2b))=...
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Show that |{:((b+c)^2,a^2,a^2),(b^2,(c+a)^2,b^2),(c^2,c^2,(a+b)^2):}...
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