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Write the value of x+y+z, if [(1,0,0),(0...

Write the value of `x+y+z`, if `[(1,0,0),(0,1,0),(0,0,1)][(x),(y),(z)]=[(1),(-1),(0)]`

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BODY BOOKS PUBLICATION-DETERMINANTS-EXERCISE
  1. Arjun' purchased 3 pens,2 purses and 1 instrument box and pays Rs. 410...

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  2. Arjun' purchased 3 pens,2 purses and 1 instrument box and pays Rs. 4...

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  3. Write the value of x+y+z, if [(1,0,0),(0,1,0),(0,0,1)][(x),(y),(z)]=[(...

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  4. Using properties of determinants prove the following. abs[[b+c,a,...

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  5. Consider the points (b,c+a),(c,a+b) and (a,b+c). Find the area of the ...

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  6. Consider the points (b,c+a),(c,a+b) and (a,b+c). Are the given points ...

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  7. If Delta=[(a-b-c,2a,2a),(2b,b-c-a,2b),(2c,2c,c-a-b)] Perform R1rarrR1+...

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  8. If Delta=[(a-b-c,2a,2a),(2b,b-c-a,2b),(2c,2c,c-a-b)]Perform R1rarrR1+R...

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  9. Using properties of determinants prove the following. abs[[a-b-c,...

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  10. Given Delta=[(a+b,b+c,c+a),(b+c,c+a,a+b),(c+a,a+b,b+c)] Express given ...

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  11. Show that abs[[a+b,b+c,c+a],[b+c,c+a,a+b],[c+a,a+b,b+c]]=2abs[[a,b,c],...

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  12. Find the equation of line joining (1,2) and (3,6) using determinants.

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  13. Prove that |[x,sintheta, costheta],[-sintheta,-x,1],[costheta,1,x]| is...

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  14. Prove that |[x,sintheta, costheta],[-sintheta,-x,1],[costheta,1,x]| is...

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  15. using properties of determinants, prove that abs[[1,a,a^2],[1,b,b^2],...

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  16. If A=[[2,-3,5],[3,2,-4],[1,1,-2]] Find A^-1

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  17. If A=[[2,-3,5],[3,2,-4],[1,1,-2]] Using it solve the system of equat...

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  18. prove that abs[[a,b,c],[a+2x,b+2y,c+2z],[x,y,z]]=0

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  19. if A=[[1,-1,2],[0,2,-3],[3,-2,4]] B=[[-2,0,1],[9,2,-3],[6,1,-2]] Prov...

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  20. if A=[[1,-1,2],[0,2,-3],[3,-2,4]] B=[[-2,0,1],[9,2,-3],[6,1,-2]] ...

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