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If x, y, z are non zero real numbers, th...

If `x, y, z` are non zero real numbers, then find the inverse of matrix `A=[[x, 0, 0],[ 0, y, 0],[ 0, 0, z]]`.

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V PUBLICATION-DETERMINANT-QUESTION BANK
  1. Consider a system of linear equations which is given below, 2/x+3/...

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  2. If a,b,c are in A.P., then the determinant |[x+2, x+3, x+2a],[x+3,x+...

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  3. If x, y, z are non zero real numbers, then find the inverse of matrix ...

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  4. Let A = [[1,Sintheta,1],[-Sintheta,1,Sintheta],[-1,-Sintheta,1]], wher...

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  5. If A(x1, y1), B(x2, y2) and C(x3, y3) are vertices of an equilateral t...

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  6. Solve the following system of equations using matrix method. 2 x+5 y=1...

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  7. If [[2,5],[-3,7]]xxA=[[17,-1],[47,-13]] then Find the 2x2 matrix A.

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  8. Let A=[[1 , 4, 0],[ -1, 2, 2],[ 0, 0, 2]] i) is A singular? i...

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  9. Solve the following system of equations using matrix method. 2 x+5 y=1...

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  10. Find the minors and cofactors of a(11), a(1 2) and a(13) of the matrix...

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  11. Let |A|=|[x1, x2, x3],[ y1, y2, y3],[ z1 , z2, z3]|.Expand |A| ...

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  12. Evaluate the determinant of A=[[3, -1, 2],[ 1, 2, -1],[ 4, 0, ...

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  13. Evaluate the determinant |[27, 2, 3],[ 45, 5, 5],[ 36, 9, 4]|

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  14. Find the value of the determinant |[1, a, b+c],[ 1, b, c+a],[ 1,...

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  15. Find the area of a triangle whose vertices are (-4,1),(5,-3) and (2,3)...

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  16. Evaluate the determinant of 'A=[[1, 2],[ 3, 4]]'

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  17. Evaluate the determinant of A=[[1 , 3 , 2],[ 2, 0, 1 ],[ 3 , 4, 3]...

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  18. Find the minors and co-factors of the elements 1,-3 and 4 in Delta=|[2...

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  19. Without expanding, evaluate |[2, 1, 5],[ -3, -1, 4],[ 6, 2, -8...

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  20. Prove that |[1 , a , a^3],[ 1, b, b^3],[ 1, c, c^3]|=(a-b)(b-c)(...

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