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Construct 3xx3 matrix A=[a(ij)] whose el...

Construct `3xx3` matrix `A=[a_(ij)]` whose elements are given by `a_(ij)=2i-3j`.

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The correct Answer is:
`A=[{:(-1,-4,-7),(1,-2,-5),(3,0,-3):}]`
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KUMAR PRAKASHAN-MATRICES -PRACTICE WORK
  1. Construct 3xx3 matrix A=[a(ij)] whose elements are given by a(ij)=2i-3...

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  2. Construct a 3xx4 matrix A=[a(ij)] whose elements are given by a(ij)...

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  3. Construct a 3xx2 matrix A=[a(ij)], whose elements are given by a(ij)={...

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  4. Obtain a mxxn matrix A=[a(ij)] . Such that a(ij)=2i-j,m=2,n=4.

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  5. What is the order of the matrix A=[{:(1,1,9,-11),(2,3,8,-15),(3,-7...

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  6. Find the value of x and y from the equation. [{:(3x+7,5),(y+1,2-3x):...

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  7. Find the value of x, y,z and w from the equation. [{:(x,3x-y),(2x+z,...

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  8. Find the value of x,y and z. [{:(x+y+z),(x+y),(y+z):}]=[{:(7),(5),(3...

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  9. Find the value of a,b,cand d. [{:(a,3a-b),(2a+c,3b-d):}]=[{:(3,2),...

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  10. Find the value of a,b,c,x,y and z. [{:(x+3,z+4,2y-7),(4x+6,a-1,0),(...

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  11. Let A=[{:(2,-1),(4,2):}]B=[{:(4,3),(-2,1):}]andC=[{:(-2,-3),(-1,2):]] ...

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  12. Compute the indicated products : (1) [{:(3,-1,4),(2,3,1):}][{:(1,3,...

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  13. If A=[{:(1,-1),(0,2),(2,3):}]andB=[{:(1,0),(-1,7):}] then find AB. Al...

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  14. A=[{:(1,-2,3),(-4,2,5):}]andB=[{:(2,3),(4,5),(2,1):}] then find AB and...

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  15. Compute : [{:(1,-1),(0,2),(2,3):}]([{:(1" "0" "2),(2" "0" "1):}]-[{:(0...

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  16. Find X and Y,if X+Y=[{:(5,2),(0,9):}]andX-Y=[{:(3,6),(0,-1):}].

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  17. If A+B=[{:(4,3,2),(4,1,7),(3,2,0):}]andA-B=[{:(6,1,4),(-4,3,9),(5,8,2)...

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  18. If Y=[{:(4,3),(2,5):}]and3X-Y=[{:(5,0),(1,1):}] then find X.

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  19. If f(x)=x^(2)-2x then find f(A) where A=[{:(0,1,2),(4,5,0),(0,2,3):}]...

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  20. Solve : [{:(x^(2)),(y^(2)):}]+2[{:(2x),(3y):}]=3[{:(7),(-3):}].

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