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If [(2x+y,4x),(5x-7,4x)]= [ (7,7y-13),(y...

If `[(2x+y,4x),(5x-7,4x)]= [ (7,7y-13),(y ,x+6)] ` , then the value of x and y is :

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HIMALAYA PUBLICATION-MATRICES AND DETERMINANTS-QUESTION BANK
  1. A and B are two matrices of the order 3xx m and 3xx n respectively, an...

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  2. If A = (1)/(pi) [{:(sin^(-1)(pix),, tan^(-1)((x)/(pi))),(sin^(-1)((x)/...

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  3. If [(2x+y,4x),(5x-7,4x)]= [ (7,7y-13),(y ,x+6)] , then the value o...

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  4. Total number of possible symmetric matrices of order 3xx 3, whose entr...

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  5. If x,y,z are nonzero real number , then the inverse of matrix A= {:[( ...

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  6. Which of the given values of x and y make the following pair of matric...

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  7. If A=[(alpha, beta),(gamma, -alpha)] is such that A^(2)=I, then

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  8. If the matrix A is both symmetric and skew symmetric, then

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  9. If A is square matrix such that A^(2)=A, then (I+A)^(3)-7A is equal to

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  10. Matrices A and B will be inverse of each other only if

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  11. If A, B are symmetric matrices of same order, then AB-BA is a

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  12. If A=[(cos alpha, -sin alpha),(sin alpha, cos alpha)], and A+A'=I, the...

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  13. Assume X, Y, Z, W and P are matrices of order 2xx n, 3xxk, 2xxp, n xx...

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  14. If X and Z are of order 2xx n and 2xx p respectively and n=p then, 7 X...

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  15. Prove that {:|( b+c,a,a), ( b,c+a,b),( c,c,b+a) |:} = 4abc

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  16. Delta=[[1,1+ac,1+bc],[1,1+ad,1+bd],[1,1+ac, 1+bc]]

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  17. If (1)/(a)+(1)/(b)+(1)/(c)=0 then |[1+a, 1, 1 ],[1, 1+b, 1],[1,1,1+c]|...

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  18. If a, b, c are all different from zero and Delta= |[1+a,1,1],[1,1+b,1]...

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  19. The value of the determinant : |(1,1,1),(""^mC1,""^(m+1)C1,""^(m+2)C...

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  20. If a , b, c are all different from zero and |(1+a,1,1),(1,1+b,1),(1,...

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