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

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

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To solve the problem of finding \( 2A - B \) given the matrices \( A \) and \( B \), we will follow these steps: ### Step 1: Define the Matrices Given: \[ A = \begin{bmatrix} 1 & 2 \\ 3 & 1 \end{bmatrix}, \quad B = \begin{bmatrix} 3 & -1 \\ 0 & 2 \end{bmatrix} \] ...
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NCERT ENGLISH-MATRICES-All Questions
  1. Find the values of a, b, c, and d from the following equation:[[2a+b,...

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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  19. Find A^2-5A+6I, if A=[[2, 0, 1],[ 2, 1, 3],[ 1,-1, 0]]

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  20. Show that(i) [[5,-1],[ 6 ,7]][[2, 1],[ 3 ,4]]!=[[2, 1],[ 3, 4]][[5,-1]...

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