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Solve system of linear equations, using ...

Solve system of linear equations, using matrix method,
`5x + 2y = 3" "``3x + 2y = 5`

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`A = [(5,2),(3,2)]`
`X= [(x),(y)]`
`b= [(3),(5)]`
`|A|= |(5,2),(3,2)|`
`=10-6=4 cancel(=) 0`
`A^-1 = 1/4 [(2,-2),(-3,5)]`
`X= A^-1B`
`[(x), (y)] = [(4/2, -1/2),(-3/4, 5/4)][(3),(5)]`
...
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NCERT ENGLISH-DETERMINANTS-All Questions
  1. Find the inverse the matrix (if it exists)given in[(2,-2),( 4, 3)]

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  2. Evaluate |(x, y, x+y),( y, x+y, x),( x+y, x, y)|.

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  3. Solve system of linear equations, using matrix method, 5x + 2y = 3" "...

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  4. Without expanding the determinant, prove that |(a,a^2,bc),(b,b^2,ca),(...

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  5. Evaluate |(cosalphacosbeta,cosalpha sinbeta , - sin alpha),(-sin beta,...

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  6. If a, b and c are real numbers, and Delta=|b+cc+a a+b c+a a+bb+c a+bb+...

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  7. Solve the equation |(x+a, x,x),(x,x+a, x),(x,x,x+a)|=0, a!= 0

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  8. Prove: |a^2b c a c+c^2a^2+a bb^2a c a bb^2+b cc^2|=4a^2b^2c^2

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  9. Solve system of linear equations, using matrix method, 2x+y+z=1" "x-2...

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  10. Solve system of linear equations, using matrix method, x - y + z = 4"...

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  11. The sum of three numbers is 6. If multiply theird number by 3 and add ...

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  12. Solve the following system of equations by matrix method. 3x-2y + 3z=...

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  13. Solve the system of equations2x + 5y = 1 and 3x + 2y = 7

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  14. Show that the matrix A=[2 3 1 2]satisfies the equation A^2-4A+I=0

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  15. If A=[[2,3],[1,-4]]and B=[[1,-2],[-1,3]], then verify that (A B)^(-1)=...

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  16. If A=[[1 ,3 ,3],[ 1, 4 ,3],[ 1, 3, 4]],then verify thatA a d j A = |A|...

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  17. Find adj for A=[[2 , 3 ] , [1 , 4]]

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  18. Find minors and cofactors of the elements of the determinant|2-3 5 6 ...

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  19. Find minors and cofactors of the elements a(11), a(21)in the determin...

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  20. Find minors and cofactors of all the elements of the determinant |[1,...

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