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Find the values of a, b, c, and d from the following equation:`[[2a+b, a-2b],[5c-d,4c+3d]]=[[4,-3], [11 ,24]]`

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To solve the equation given by the matrices: \[ \begin{bmatrix} 2a + b & a - 2b \\ 5c - d & 4c + 3d \end{bmatrix} = ...
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NCERT ENGLISH-MATRICES-All Questions
  1. Find X and Y, if X+Y=[[5, 2],[ 0, 9]]and X-Y=[[3, 6],[ 0,-1]].

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  2. If [[x+3,z+4,2y-7],[-6,a-1,0],[b-3,-21,0]]=[[0,6,3y-2],[-6,-3,2c+2],[2...

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  3. Find the values of a, b, c, and d from the following equation:[[2a+b,...

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  4. Given A=[[sqrt(3),1,-1],[2, 3, 0]]and B=[[2, sqrt(5),1],[-2,3, 1/2]], ...

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  5. If A-[1 22 33 1]and B-[3-1-1 03 2], then find 2A-B.

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  6. Consider the following information regarding the number of men and wo...

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  7. If a matrix has 8 elements, what are the possible orders it can have?

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  8. Construct a 3 xx2matrix whose elements are given by a(i j)=1/2|i-3j|.

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  9. Find 1/2(A+Aprime)and 1/2(A-Aprime), when A=[[0,a, b],[-a,0,c],[-b,-c,...

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  10. For the matrix A=[[1, 5],[ 6, 7]], verify that.(i) (A+A^(prime))is a ...

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  11. For the matrices A and B, verify that (AB)′=B′A′, where (i) A=[{:(-1)...

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  12. If Aprime=[[-2, 3],[ 1, 2]]and B=[[-1, 0],[ 1, 2]], then find (A+2B)^(...

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  13. (i) Show that the matrix A=[[1,-1, 5],[-1, 2, 1],[ 5, 1, 3]]is a symm...

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  14. If (i) A=[[cosalpha,sinalpha],[-sinalpha,cosalpha]], then verify that ...

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  15. Find the transpose of each of the following matrices:(i) [[5],[ 1/2],...

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  16. If A=[[3,4],[ -1,2],[0, 1]]and B=[[-1, 2, 1],[1,2, 3]], then verify th...

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  17. If A=[[-1 ,2, 3],[ 5 ,7, 9],[-2 ,1, 1]]and B=[[-4, 1,-5],[ 1, 2,0 ],[1...

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  18. If A=[[cosalpha,-sinalpha],[sinalpha,cosalpha]], then A+A^(prime)=I, i...

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  19. Express the following matrices as the sum of a symmetric and a skew s...

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  20. Choose the correct answer If A, B are symmetric matrices of same orde...

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