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

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

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To find the adjoint of the matrix \( A = \begin{bmatrix} 2 & 3 \\ 1 & 4 \end{bmatrix} \), we will follow these steps: ### Step 1: Find the Cofactor Matrix The cofactor of an element \( a_{ij} \) in a matrix is given by the formula: \[ C_{ij} = (-1)^{i+j} \cdot M_{ij} \] where \( M_{ij} \) is the minor of the element \( a_{ij} \) (the determinant of the matrix obtained by deleting the \( i \)-th row and \( j \)-th column). ...
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NCERT ENGLISH-DETERMINANTS-All Questions
  1. If A=[[2,3],[1,-4]]and B=[[1,-2],[-1,3]], then verify that (A B)^(-1)=...

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

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

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

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

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

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  7. Using the property of determinants and without expanding, prove that:...

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  8. Using the property of determinants and without expanding, prove that:...

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  9. Using the property of determinants and without expanding, prove that:...

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  10. Using the property of determinants and without expanding, prove that:...

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  11. Using the property of determinants and without expanding, prove that:...

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  12. Using the property of determinants and without expanding, prove that:...

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  13. Using the property of determinants and without expanding, prove that:...

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  14. By using properties of determinants. Show that:|[x,x^2,y z],[ y, y^2,z...

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  15. By using properties of determinants. Show that: (i) |[1,a, a^2],[ 1,...

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  16. If a, b, c are positive and unequal, show that value of the determina...

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  17. If a,b,c are in A.P, find value of |[2y+4,5y+7,8y+a],[3y+5,6y+8,9y+b],...

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  18. Show that Delta=|((y+z)^2,xy,zx),(xy,(x+z)^2,yz),(xz,yz,(x+y)^2)|=2x y...

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  19. Use product [1-1 2 0 2-3 3-2 4]\ \ [-2 0 1 9 2-3 6 1-2] to solve th...

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  20. Without expanding, prove that |(a+b x, c+dx, p+q x), (a x+b, c x+d, ...

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