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Evaluate |(2, 4),(-1,2)|...

Evaluate `|(2, 4),(-1,2)|`

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To evaluate the determinant `|(2, 4), (-1, 2)|`, we will follow the standard formula for calculating the determinant of a 2x2 matrix. ### Step-by-Step Solution: 1. **Identify the elements of the determinant**: The given determinant is: \[ \begin{vmatrix} ...
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NCERT ENGLISH-DETERMINANTS-All Questions
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  2. Solve system of linear equations, using matrix method, 2x + 3y +3z = ...

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  3. Evaluate |(2, 4),(-1,2)|

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  4. Evaluate |(x, x+1),(x-1,x)|

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  5. Find values of x for which|(3, x),(x,1)| = |(3, 2),(4,1)|

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  6. Evaluate Delta=|0sinalpha-cosalpha-sinalpha0sinbetacosalpha-sinbeta0|

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

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  8. Verify Property 1 for Delta=|(2,-3 ,5),(6, 0 ,4 ),(1,5,-7)|

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  9. Write the value of the following determinant: |[102, 18, 36],[ 1, 3, 4...

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  10. Evaluate Delta=|3 2 3 2 2 3 3 2 3|

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  11. Examine the consistency of the system of equations x + 2 y = 2" "2x +...

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  12. Solve system of linear equations, using matrix method, 5x + 2y = 4," ...

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  13. Examine the consistency of the system of equations 5x -y + 4z = 5," "...

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  14. Examine the consistency of the system of equations 3x -y - 2z = 2" "2...

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  15. Examine the consistency of the system of equations x + y + z = 1 2x + ...

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  16. If A is an invertible matrix of order 2, then det (A^(-1))is equal to...

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  17. Find the inverse the matrix (if it exists)given in[(1, 0, 0),( 0,cosal...

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  18. Find area of the triangle with vertices at the point given in each of...

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  19. Show that pointsA (a , b + c), B (b , c + a), C (c , a + b)are collin...

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  20. If A=|[3, 2], [7, 5]| and B=|[6 ,7], [8, 9]| , verify that (A B)^(-1)=...

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