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A=[{:(2,-3),(4,6):}] verify (adjA)^(-1)=...

`A=[{:(2,-3),(4,6):}]` verify `(adjA)^(-1)=(adjA^(-1))`

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`(adjA)^(-1)=(adjA^(-1))`
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Let A=[{:(1,-2,1),(-2,3,1),(1,1,5):}] Verify that (A^(-1))^-1=A

A=[{:(5,-1),(6,7):}],B=[{:(2,1),(3,4):}]andC=[{:(1,3),(-1,4):}] then verify that (i) (A)=A (ii) (A+B)=A+B (iii) (3A)'=3A (iv) (AB)'=B'A'

If A=[{:(1,2),(-2,1):}],B=[{:(2,3),(3,-4):}]andC=[{:(1,0),(-1,0):}] verify (i) (A*B)*C=A*(BC) (ii) A*(B+C)=AB+AC

If A=[{:(3,sqrt(3),2),(4,2,0):}]andB=[{:(2,-1,2),(1,2,4):}] verify that (i) (A')'=A (ii) (A+B)' =A'+B' (iii) (kB)'=kB ', where k is any constant.

If A=[{:(1,2,-1),(-1,1,2),(2,-1,1):}] then det(ad(adjA))=….

KUMAR PRAKASHAN-DETERMINANTS -Practice Work
  1. If A=[{:(1,2,1),(2,1,3),(1,1,0):}] then prove that A^3-2A^2-7A-4I3=0. ...

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  2. If A=[{:(2,3),(1,-4):}],B=[{:(1,-20),(-1,3):}] then verify (AB)^(-1)=B...

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  3. A=[{:(2,-3),(4,6):}] verify (adjA)^(-1)=(adjA^(-1))

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  4. Solve system of linear equations , using matrix method if exists 3x+...

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  5. Solve system of linear equations , using matrix method if exists 3x-...

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  6. Solve system of linear equations , using matrix method if exists 5x-...

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  7. Solve system of linear equations , using matrix method if exists 5x+...

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  8. Solve system of linear equations , using matrix method if exists x-y...

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  9. Solve system of linear equations , using matrix method if exists 3x+...

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  10. Solve system of linear equations , using matrix method if exists 2/x...

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  11. Solve system of linear equations , using matrix method if exists x-2...

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  12. Solve system of linear equations , using matrix method if exists 4x-...

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  13. Solve system of linear equations , using matrix method if exists x-y...

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  14. The sum of three numbrs is 6. If we multiply third number by 3 and add...

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  15. Prove that |{:(a+1,1,1),(1,b+1,1),(1,1,c+1):}|=abc(1/a+1/b+1/c+1)

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  16. If anebnecand |{:(a,a^3,a^4-1),(b,b^3,b^4-1),(c,c^3,c^4-1):}|=0 then p...

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  17. Prove that |{:(sqrt(13)+sqrt3,2sqrt5,sqrt5),(sqrt(15)+sqrt(26),5,sqrt(...

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  18. Prove that |{:(x^2,y^2,z^2),((x+1)^2,(y+1)^2,(z+1)^2),((x-1)^2,(y-1)^2...

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  19. Using the property of determinants andd without expanding in following...

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  20. Solve that |{:(1+x,1-x,1-x),(1-x,1+x,1-x),(1-x,1-x,1+x):}|=0

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