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Determination the product [{:(,1,-1,1),(...

Determination the product `[{:(,1,-1,1),(,1,-2,-2),(,2,1,3):}] [{:(,-4,4,4),(,-7,1,3),(,5,-3,-1):}]` and use it to solve the system of equations `x-y+z=4, x-2y-2z=9, 2x+y+3z=1`

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The correct Answer is:
`x=3,y=-2,z=-1`
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Determine the product [[-4, 4, 4], [-7, 1, 3],[5, -3, -1]][[1, -1, 1],[1, -2, -2],[2, 1, 3]] and use it to solve the system of equations x – y + z = 4, x – 2y – 2z = 9, 2x + y + 3z = 1

Use product [{:(1,-1,2),(0,2,-3),(3,-2,4):}][{:(-2,0,1),(9,2,-3),(6,1,-2):}] to solve the equations : x-3z=9 , -x+2y-2z=4 , 2x-3y+4z=-3

If A=[{:(1,1,1),(1,0,2),(3,1,1):}] , find A^(-1) . Hence, solve the system of equations : x+y+z=6 , x+2z=7 , 3x+y+z=12

If A=((2,-3,5),(3,2,-4),(1,1,-2)) find A^(-1). Use it to solve the system of equations 2x-3y+5z=11 , 3x+2y-4z=-5 and x+y-2z=-3

The solution of the system of equations is x-y+2z=1,2y-3z=1 and 3x-2y+4y=2 is

x+y+z=4 2x-y+z=-1 2x+y-3z=-9

If A=[{:(3,1,2),(3,2,-3),(2,0,-1):}] , find A^(-1) . Hence, solve the system of equations : 3x+3y+2z=1 , x+2y=4 , 2x-3y-z=5

If A=|(2,2,-4),(-4,2,-4),(2,-1,5)| and B=|(1,-1,0),(2,3,4),(0,1,2)| then find BA and use ths to sovle the system of equations y+2z=7, x-y=3 and 2x+3y+4z=17 .

If A=[(1,-2,0),(2,1,3),(0,-2,1)] and B=[(7,2,-6),(-2,1,-3),(-4,2,5)] , find AB Hence , solve the system of equation x-2y=10, 2x+y+3z=8 and -2y+z=7.

If A=[(2,1,3),(4,-1,0),(-7,2,1)] , find A^(-1) and hence solve the following system of equations: 2x+y+3z=3 4x-y=3 -7x+2y+z=2

RESONANCE-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+5)=-...

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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. . For what values of lambda and mu the system of equations x+y+z=6, x+...

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  9. Determination the product [{:(,1,-1,1),(,1,-2,-2),(,2,1,3):}] [{:(,-4,...

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

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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 e n...

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

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  15. Let lambdaa n dalpha be real. Find the set of all values of lambda for...

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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. if the system of equation ax+y+z=0, x+by=z=0,and x+y+cz=0 (a,b,c!=1) h...

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