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If A=[{:(,1,1,2),(,0,2,1),(,1,0,2):}] sh...

If `A=[{:(,1,1,2),(,0,2,1),(,1,0,2):}]` show that `A^(3)=(5A-I)(A-I)`

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RESONANCE ENGLISH-MATRICES & DETERMINANT-SECTION-D
  1. For the matrix A=[{:(,3,2),(,1,1):}] Find a & b so that A^(2)+aA+bI=0....

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  2. Find the total number of possible square matrix. A order 3 with all re...

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  3. If A=[{:(,1,1,2),(,0,2,1),(,1,0,2):}] show that A^(3)=(5A-I)(A-I)

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  4. Apply Cramer's rule to solve the simultaneous equations. (i)x+2y+3z...

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  5. Solve using Cramer's rule:(4)/(x+5)+(3)/(y+7)=-1&(6)/(x+5)-(6)/(y+7)=-...

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  6. Find those values of c for which the equations: 2x+3y=3,(c+ 2)x + (c +...

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  7. Solve the following systems of liner a equations by cramer rule . (i...

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  8. Determine for that values of lambda and mu the following system of eq...

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  9. Determine the product [(-4, 4, 4),(-7, 1, 3),( 5,-3,-1)][(1,-1, 1),( 1...

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  10. Compute A^(-1), if A=[{:(,3,-2,3),(,2,1,-1),(,4,-3,2):}]. Hence sove t...

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  11. Show that following system of linear equations is inconsistent: 4x-...

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  12. If A=[{:(,1,0,2),(,0,2,1),(,2,0,3):}] is a root of polynomial x^(3)-6x...

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  13. If A=[[a,b],[c,d]] (where b c!=0 ) satisfies the equations x^2+k=0,t h...

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  14. If the system of equations x + 2y + 3z = 4, x+ py+ 2z = 3, x+ 4y +u z ...

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  15. Let lambda and alpha be real. Then the numbers of intergral values ...

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  16. Let [{:(,a,o,b),(,1,e,1),(,c,o,d):}]=[{:(,0),(,0),(,0):}] where a,b,c,...

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  17. a ,b ,c are distinct real numbers not equal to one. If a x+y+z=0,x+b y...

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