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If A =[(1,-1),(2,5)] and B=[(-2,2),(3,1)...

If `A =[(1,-1),(2,5)]` and `B=[(-2,2),(3,1)]` then find the values `A^2-2B^-`

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To solve the problem, we need to find the value of \( A^2 - 2B \) where \( A = \begin{pmatrix} 1 & -1 \\ 2 & 5 \end{pmatrix} \) and \( B = \begin{pmatrix} -2 & 2 \\ 3 & 1 \end{pmatrix} \). ### Step 1: Calculate \( A^2 \) To find \( A^2 \), we need to multiply matrix \( A \) by itself: \[ A^2 = A \times A = \begin{pmatrix} 1 & -1 \\ 2 & 5 \end{pmatrix} \times \begin{pmatrix} 1 & -1 \\ 2 & 5 \end{pmatrix} ...
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MAHAVEER PUBLICATION-MATRIX-QUESTION BANK
  1. Given that,A=(aij)(3xx3) =[(1,6,-1),(5,2,7),(1,3,-5)](3xx3) then find ...

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  2. If A =[(1,-1),(2,5)] and B=[(-2,2),(3,1)] then find the values 2A+5B

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  3. If A =[(1,-1),(2,5)] and B=[(-2,2),(3,1)] then find the values A^2-2B^...

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  4. If A =[(1,-1),(2,5)] and B=[(-2,2),(3,1)] then find the values BA+2l, ...

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  5. If A=[(2,-1),(3,2)](2X2) and B=[(1,-1),(2,1)](2xx2)] Find AB.

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  6. In the matrix A=[(2,-1,3),(4,6,1) ],write the order of the matrix

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  7. In the matrix A=[(2,-1,3),(4,6,1) ],write the elements, what are the p...

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  8. If a matrix has 12 elements, what are the possible order in can have ?

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  9. Construct a2xx2 matrix A whose elements are given by a(ij)=2i+j

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  10. Construct a2xx2 matrix A whose elements are given by a(ij)=1/2(i-2j)^2

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  11. Construct a2xx2 matrix A whose elements are given by a(ij)=1/2|-3i+j|

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  12. If [(a+b ,2),(5,ab)]=[(6,2),(5,8)], Find the values of a and b.

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  13. Find x,y,a and b if[(2x+3y,a+b,8),(1,4x+y,3a-4b)]=[(7,1,8),(1,9,10)].

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  14. Find the number of all possible matrices of order 3xx3 with each entry...

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  15. Let,A=[(2,4),(3,2)],B=[(1,3),(-2,5)],C[(-2,5),(3,4)] Find each of the ...

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  16. Let,A=[(2,4),(3,2)],B=[(1,3),(-2,5)],C[(-2,5),(3,4)] Find each of the ...

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  17. Let,A=[(2,4),(3,2)],B=[(1,3),(-2,5)],C[(-2,5),(3,4)] Find AB

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  18. Let,A=[(2,4),(3,2)],B=[(1,3),(-2,5)],C[(-2,5),(3,4)] Find BA

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  19. Find the product of [(a,b),(-b,a)][(a,-b),(b,a)]

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  20. Find the product of [(2,1),(3,2),(-1,1)][(1,0,1),(-1,2,1)]

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