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If a matrix has 12 elements, what are th...

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

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To determine the possible orders of a matrix that contains 12 elements, we need to understand the relationship between the number of rows (m) and columns (n) in a matrix. The order of a matrix is defined as m x n, where m is the number of rows and n is the number of columns. Given that the total number of elements in the matrix is 12, we can set up the equation: \[ m \times n = 12 \] Now, we need to find all pairs of positive integers (m, n) such that their product equals 12. ...
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MAHAVEER PUBLICATION-MATRIX-QUESTION BANK
  1. In the matrix A=[(2,-1,3),(4,6,1) ],write the order of the matrix

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

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

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

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

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

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

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

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

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

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

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

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

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

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  16. Find the product of [(2,3,4),(3,4,5),(4,5,6)][(1,-3),(0,2),(3,0)]

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  17. Find X and Y ,ifX+Y =[(7,0),(2,5)] and X-Y= [(3,0),(0,3)]

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  18. Find X and Y ,if 2X + 3Y = [(2,3),(4,0)] and 3X+2Y=[(2,-2),(-1,5)]

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  19. Find ,A^2-5A+6l, ifA = [(2,0,1),(2,1,3),(1,-1,0)].

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  20. Find the transpose of matrices [(1,3,7),(4,2,3)]

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