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Find the inverse the matrix (if it exist...

Find the inverse the matrix (if it exists) given in`[(2, 1, 3),( 4,-1, 0),(-7, 2, 1)]`

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To find the inverse of the matrix \( A = \begin{pmatrix} 2 & 1 & 3 \\ 4 & -1 & 0 \\ -7 & 2 & 1 \end{pmatrix} \), we will follow these steps: ### Step 1: Calculate the Determinant of the Matrix The determinant of a 3x3 matrix can be calculated using the formula: \[ \text{det}(A) = a(ei - fh) - b(di - fg) + c(dh - eg) \] For our matrix: ...
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NCERT ENGLISH-DETERMINANTS-All Questions
  1. Find the minor of element 6 in the determinant Delta=|1 2 3 4 5 6 7 8 ...

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  2. Find the inverse the matrix (if it exists)given in[[1, 0, 0],[ 3, 3, 0...

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  3. Find the inverse the matrix (if it exists) given in[(2, 1, 3),( 4,-1, ...

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  4. If A=((2,-3,5),(3,2,-4),(1,1,-2)) find A^(-1). Use it to solve the sys...

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  5. Find adjoint of the matrice in[(1,-1, 2),( 2, 3, 5),(-2, 0, 1)]

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  6. Verify A (a d j A) = (a d j A) A = |A|I for [(2 ,3),(-4,-6)]

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  7. Find adjoint of the matrice in[(1, 2),( 3, 4)]

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  8. Find the inverse the matrix (if it exists)given in[(-1, 5),(-3, 2)]

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  9. Find the inverse the matrix (if it exists)given in[(1, 2, 3),( 0, 2, 4...

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  10. Verify A (a d j A) = (a d j A) A = |A|I [(1,-1,2),(3,0,-2),(1,0,3)]

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  11. Find the inverse the matrix (if it exists)given in[(2,-2),( 4, 3)]

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

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

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

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

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

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

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

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