Home
Class 12
MATHS
find the cofactor of a(23) in [(3,1,4),(...

find the cofactor of` a_(23)` in `[(3,1,4),(0,2,-1),(1,-3,5)]`

Text Solution

Verified by Experts

Let `A=[(3,1,4),(0,2,-1),(1,-3,5)]`
`therefore" cofactor of" " "a_(23) =-D`
where `D=|(3,1),(1,-3)|`
[after crossing the 2nd row and 3rd column]
`=-9-1=-10`
Hence, cofactor of `a_(23)=-(-10)=10`
Promotional Banner

Similar Questions

Explore conceptually related problems

Evaluate: |(3, -1, -2),(0,0,-1),(3,-5,0)|

Evaluate the determinants (i) {:[( 3,-1,-2),( 0,0,-1),( 3,-5,0) ]:} " " (ii) {:[( 3,-4,5),( 1,1,-2),(2,3,1) ]:} (iii) {:[( 0,1,2),(-1,0,-3),(-2,3,0)]:}" "(iv) {:[(2,-1,-2),(0,2,-1),(3,-5,0)]:}

Find the circumcentre of a triangle formed by (2,3), (1,-5), and (-1, 4).

If A = [(1,1,-2),(2,1,-3),(5,4,-9)] find |A| .

Find the distance between the points (2,3) and (4,1) .

Find the distance between the points (2,3) and (4,1) .

f: Z to Z is a linear function defined by f={(1,1),(0,-1),(2,3)} , find f(x)

Find x, if [(x, -5, -1)][(1,0,2),(0,2,1),(2,0,3)][(x),(4),(1)]=O

Find the area of the triangle whose vertices are: (i) (2,3), (-1,0), (2,-4) (ii) (-5,-1), (3,-5), (5, 2)

Compute the indicated products: (i) [(a,b),(-b,a)][(a,-b),(b,a)] (ii) [(1),(2),(3)][(2,3,4)] (iii) [(1,-2),(2,3)][(1,2,3),(2,3,1)] (iv) [(2,3,4),(3,4,5),(4,5,6)][(1,-3,5),(0,2,4),(3,0,5)] (v) [(2,1),(3,2),(-1,1)][(1,0,1),(-1,2,1)] (vi) [(3,-1,3),(-1,0,2)][(2,-3),(1,0),(3,1)]