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Let A=[{:(,1,1,1),(,1,1,1),(,1,1,1):}] ,...

Let A=`[{:(,1,1,1),(,1,1,1),(,1,1,1):}]` , B=`[{:(,2,-1,-1),(,-1,2,-1),(,-1,-1,2):}]` and C=3A+7B

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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 compure (A+B) and (B-C), Also , verify that A+(B-C)=(A+B)-C.

Let matrix A=[[1,1,11,1,11,1,1]] and B=[[2,-1,-1-1,2,-1-1,-1,2]], then -

Let A+2B=[(1,2,0),(6,-1,3),(-5,3,1)] and 2A-B=[(2,-1,5),(2,-1,6),(0,1,2)], then find tr(A)-tr(B).

if A=[{:(2,1,3),(1,-1,2),(4,1,5):}]and B=[{:(1,-1,2),(2,1,5),(4,1,3):}], then show that : (i) (A+B)'=A'+B' (ii) (A+4B)'=A'+4B'

If A=[(1,2,3),(-1,0,2),(1,-8,-1)],B=[(4,5,6),(-1,0,1),(2,1,2)],C=[(-1,-2,1),(-1,2,3),(-1,-2,2)] , find (i) 2B-3C (ii) A-2B+3C .

A={:[(1,2,1),(3,-1,2),(1,0,3)]:},B={:[(1,1,1),(-1,1,1),(2,-2,2)]:} then find matrix X such that 2A+X=2B.

Let A+2B={:[(3,2,-3),(1,0,4),(3,1,2)]:}and-A-B={:[(1,0,3),(-1,4,1),(3,2,1)]:} . Find A and B.

Let A =[(1,-1,1),(2,1,-3),(1,1,1)] and 10B=[(4,2,2),(-5,0,alpha),(1,-2,3)]. If B is the inverse of A, then alpha is :

A={:[(1,2,1),(3,1,4)]:},B={:[(1,-1),(2,3),(-1,1)]:} , verify (AB)'=B'A'

RESONANCE-MATRICES & DETERMINANT-HLP
  1. If a,b,c are comples number and z=|{:(,0,-b,-c),(,bar(b),0,-a),(,bar(c...

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  2. If f(x)=log(10)x and g(x)=e^(ln x) and h(x)=f [g(x)], then find the va...

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  3. If A=[{:(,1,a),(,0,1):}] then find lim(n-oo) (1)/(n)A^(n)

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  4. "Let" P=[{:(,"cos"(pi)/(9),"sin"(pi)/(9)),(,-"sin"(pi)/(9),"cos"(pi)/(...

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  5. Let A=[{:(,1,1,1),(,1,1,1),(,1,1,1):}] , B=[{:(,2,-1,-1),(,-1,2,-1),(,...

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  6. Let 'A' is (4xx4) matrix such that the sum of elements in each row is ...

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  7. Let A=[{:(,x+lambda,x,x),(,x,x+lambda,x),(,x,x,x+lambda):}]then prove ...

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  8. Let A be a nxxn matrix such thatA ^(n) = alpha A, where alpha is a ...

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  9. Let p and q be real number such that x^(2)+px+q ne0 for every real num...

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  10. Let A,B,C be three 3 xx 3 matrices with real enteries. If BA+BC+AC=1, ...

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  11. If |z(1)|=|z(2)|=1"then prove that" [{:(,z(1),-z(2)),(,bar(z)(2),bar(z...

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  12. If A and B are two square matrices such that B=-A^(-1)BA, then (A+B)...

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  13. A=[(a,1,0),(1,b,d),(1,b,c)],B=[(a,1,1),(0,d,c),(f,g,h)],U=[(f),(g),(h)...

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  14. If the system of equations x=cy+bz, y=az+cx and z=bx+ay has a non-zero...

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  15. IfD=d i ag[d1, d2, dn] , then prove that f(D)=d i ag[f(d1),f(d2), ,f(...

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  16. Fiven the matrix A= [[-1,3,5],[1,-3,-5],[-1,3,5]] and X be the solut...

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  17. If q is a characteristic root of an singular matrix A, then prove that...

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  18. If there are three square matrix A, B, C of same order satisfying the...

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  19. If A is non-singular matrix satifying AB-BA=A, then prove that det(B+I...

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  20. If a rank is a number associated with a matrix which is the highest or...

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