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MOTION-MATRICES -Exercise - 3(Subjective - type Questions)
- If A=[(3,-4),(1,-1)] prove that A^k=[(1+2k,-4k),(k,1-2k)] where k is a...
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- If A=[{:(,2,-1),(,3,4):}]=B=[{:(,5,2),(,7,4):}],C=[{:(,2,5),(,3,8):}] ...
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- If A and B are non-zero square matrices of same order such that AB=A a...
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- If A=[(ab,b^2),(-a^2,-ab)], then A is
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- If, E=[(0,1,0),(0,0,1),(0,0,0)]and F=[(0,0,0),(1,0,0),(0,1,0)] calcula...
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- A is a square matrix of order n. l = maximum number of distinct ent...
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- (i) Prove that (adj adj A) = |A|^(n – 2) A (ii) Find the value of |...
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- For the matrix A=[{:(,3,2),(,1,1):}] Find a & b so that A^(2)+aA+bI=0....
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- If A-^1=[3-1 1-15 6-5 5-2 2] and B=[1 2-2-1 3 0 0-2 1] , find (A B)^(-...
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- If {1/2(A-A'+1)}^-1=2/lambda[(lambda-13,-lambda/3,lambda/3),(-17,10,-...
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- Given A=[[2,0,-alpha],[5,alpha,0],[0,alpha,3]] For a in R-{a, b}, A^(-...
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- Compute A^(-1) for the following matrix A=[(-1,2,5),(2,-3,1),(-1,1,1)...
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- For the matrix A=[(4,-4,5),(-2,3,-3),(3,-3,4)] find A^(-2) .
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- Gaurav purchases 3 pens, 2 bags and 1 instrument box and pays Rs. 41. ...
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- Solve the following system of linear equations by using the principle ...
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- Solve the following system of linear equations by using the principle ...
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- By using the principle of matrix, show that the following system of eq...
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- Find the number of 2xx2 matrix satisfying (i) aij is 1 or -1 (ii) ...
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- If A = [[0, 1],[3,0]]and (A^(8) + A^(6) + A^(4) + A^(2) + I) V= [[0],[...
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- If the matrices A=[(1,2),(3,4)] and B=[(a,b),(c,d)] (a,b,cd not all si...
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