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The sum of three numbers is 6. If we mul...

The sum of three numbers is 6. If we multiply third number by 3 and add second number to it, we get 11. By adding first and third numbers, we get double of the second number. Represent it algebraically and find the numbers using matrix method.

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PRADEEP PUBLICATION-DETERMINANTS-EXERCISE
  1. The sum of three numbers is 6. If we multiply third number by 3 and ad...

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  2. If A = [(13,-10),(7,87)], write the following submatrices of A. A12

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  3. If A = [(13,-10),(7,87)], write the following submatrices of A. A22

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  4. If A = [(a,h,g),(h,b,f),(g,f,c)], find the submatrix of A obtained by ...

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  5. If A = [(a,h,g),(h,b,f),(g,f,c)], find the submatrix of A obtained by ...

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  6. If A = [(a,h,g),(h,b,f),(g,f,c)], find the submatrix of A obtained by ...

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  7. If A = [(a,h,g),(h,b,f),(g,f,c)], find the submatrix of A obtained by ...

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  8. Find the minors and cofactos of each entry of the first column of the ...

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  9. Find the minors and cofactos of each entry of the first column of the ...

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  10. Find the minors and cofactos of each entry of the first column of the ...

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  11. Find the minors and cofactos of each entry of the first column of the ...

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  12. Evaluate the following determinants: {:|(-2,3),(4,-9)|

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  13. Evalate the following determinants: |(1//2, 8),(4,2)|

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  14. Evaluate the following determinants: |(a+ib , - c + id),(c+id, a-ib)...

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  15. Evaluate the following determinants: |(3x, x-7),(x+1,5x+1)|

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  16. Show that |(sin10^@, - cos10^@),(sin80^@, cos80^@)| = 1

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  17. Show that {:|(cos15^@, sin15^@),(sin75^@, cos75^@)|:}= 0

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

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  19. Evaluate the following determinants: |(1,0,0),(0,1,0),(0,0,1)|

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  20. Evaluate the following determinants: |(1,-3,3),(4,-1,3),(3,5,3)|

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  21. Evaluate the following determinants: |(1,0,2),(0,2,1),(2,0,3)|

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