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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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A={:[(1,2,3),(4,1,-1),(2,3,1)]:},B={:[(1,-1,1),(2,0,1),(1,1,1)]:} , verify (AB)'=B'A'.

If A[{:(3,-4),(1,1),(2,0):}] and B=[{:(2,1,2),(1,2,4):}] and B=[{:(4,1),(2,3),(1,2):}]

Let A=[{:(,4,-2),(,6,-3):}], B=[{:(,0,2),(,1,-1):}] and C=[{:(,-2,3),(,1,-1):}] . Find A^2-A+BC .

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.

if A=[{:(-1,2,,3),(5,7,9),(-2,1,1):}]and B=[{:(-4,1,-5),(1,2,0),(1,3,1):}], then verify that (I) (A+B)'=A'+B',(ii) (A-b)'=A'=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'

Given A=[{:(,1,2),(,-2,3):}], B=[{:(,-2,-1),(,1,2):}] and C=[{:(,0,3),(,2,-1):}] , find A+2B-3C.

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,-1,2),(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.

RESONANCE ENGLISH-MATRICES & DETERMINANT-HLP
  1. If a,b,c are real number, and D=|{:(,a,1+2i,3-5i),(,1-2i,b,-7-3i),(,3+...

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

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

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

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  5. Let A be a (4xx4) matrix such that the sum of elements in each row is ...

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

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

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

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

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

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

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  12. about to only mathematics

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

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

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

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

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  17. Show that if lambda(1), lambda(2), ...., lambda(n) are n eigenvalues o...

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  18. If there an three square matrices A, B, C of same order satisying th...

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  19. If A is a nonsingular matrix satisfying AB-BA=A, then prove that det. ...

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

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