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

Evaluate `Delta=|3 2 3 2 2 3 3 2 3|`

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To evaluate the determinant \( \Delta = \begin{vmatrix} 3 & 2 & 3 \\ 2 & 2 & 3 \\ 3 & 2 & 3 \end{vmatrix} \), we can follow these steps: ### Step 1: Write the determinant in matrix form We have the determinant as follows: \[ \Delta = \begin{vmatrix} 3 & 2 & 3 \\ 2 & 2 & 3 \\ 3 & 2 & 3 \end{vmatrix} \] ...
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NCERT ENGLISH-DETERMINANTS-All Questions
  1. Verify Property 1 for Delta=|(2,-3 ,5),(6, 0 ,4 ),(1,5,-7)|

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

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

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

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

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

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

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

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

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

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

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

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

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  14. Let A be a non-singular square matrix of order 3 xx3. Then |adj A| is ...

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  15. If A=[2-1 1-1 2-1 1-1 2] . Verify that A^3-6A^2+9A-4I=O and hence find...

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  16. Let A=[[1,sintheta,1],[-sintheta,1,sintheta],[-1,-sintheta,1]], where ...

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  17. If x, y, z are non-zero real numbers, then the inverse of matrix A=[(...

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  18. If a, b, c, are in A.P, then the determinant |(x+2,x+3,x+2a),( x+3,x+4...

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  19. Solve the system of equations2/x+3/y+(10)/z=4,4/x-6/y+5/z=1,6/x+9/y-(2...

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  20. Using properties of determinants. Prove that |(sinalpha,cosalpha,cos(a...

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