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If A is invertible matrix of order 3xx3,...

If `A` is invertible matrix of order `3xx3`, then `|A^(-1)|` is equal to…………

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If `A` is invertible matrix of order `3xx3` then `|A^(-1)|=1/(|A|)` [since `|A|.|A^(-1)|=1`]
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NCERT EXEMPLAR-DETERMINANTS-Determinants
  1. If there are two values of a which makes determinant, Delta=|(1,-2,5...

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  2. If A is a matrix of order 3xx3, then |3A| is equal to………

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  3. If A is invertible matrix of order 3xx3, then |A^(-1)| is equal to…………

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  4. If x,y,zepsilonR then the value of |((2x^(x)+2^(-x))^(2),(2^(x)-2^(-x)...

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  5. If cos2theta=0, then |(0,costheta,sin theta),(cos theta, sin theta, 0)...

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  6. If is A is a matrix of order 3xx3, then (A^(2))^(-1) is equal to…………….

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  7. If A is a matrix of order 3xx3 then the number of minors in determinan...

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  8. The sum of products of elements of any row with the cofactors of corre...

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  9. If x=-9 is a root of |(x,3,7),(2,x,2),(7,6,x)|=0 then other two roots ...

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  10. |(0,xyz,x-z),(y-x,0,y-z),(z-x,z-y,0)| is equal to……………

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  11. If f(x)=|((1+x)^(17),(a+x)^(19),(1+x)^(23)),((a+x)^(23),(a+x)^(29),(1+...

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  12. (A^(3))^(-1)=(A^(-1))^(3), where A is a square matrix and |A|!=0

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  13. (aA)^(-1)=1/aA^(-1) where a is any real number and A is a square matri...

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  14. |A^(-1)|!=|A+^(-1), where A is a non singular matrix.

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  15. If A and B are matrices of order 3 and |A|=5,|B|=3, the |3AB|

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  16. If the value of a third order determinant is 12, then find the value o...

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  17. If a,b,c are in AP show that |[x+1,x+2,x+a],[x+2,x+3,x+b],[x+3,x+4,x+c...

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  18. |adjA|=|A|^(2) where A is a square matrix of order two.

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  19. Using properties of determinant. Prove that |[sinA,cosA,sinA+cosB],[si...

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  20. If the determinant |(x+a,p+u,l+f),(y+b,q+v,m+g),(z+c,r+w,n+h)| splits ...

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