Advertisements
Advertisements
प्रश्न
Evaluate the following determinants: `|(5, 5, 5),(5, 4, 4),(5, 4, 8)|`
उत्तर
`|(5, 5, 5),(5, 4, 4),(5, 4, 8)|`
= `5|(4, 4),(4, 8)| - 5|(5, 4),(5, 8)| + 5|(5, 4),(5, 4)|`
= 5(32 – 16) –5(40 – 20) + 5(20 –20)
= 5(16) – 5(20) + 5(0)
= 80 –100
= – 20.
APPEARS IN
संबंधित प्रश्न
Evaluate the following determinants: `|(1, "i", 3),("i"^3, 2, 5),(3, 2, "i"^4)|`
Evaluate the following determinant:
`|(0, "a", -"b"),(-"a", 0, -"c"),("b", "c", 0)|`
Find the value(s) of x, if `|(2, 3),(4, 5)| = |(x, 3),(2x, 5)|`
Solve the following equation : `|(x, 2, 2),(2, x, 2),(2, 2, x)| = 0`
Find |AB| if A = `[(3,-1),(2,1)]` and B = `[(3,0),(1,-2)]`
If A = `|(cos theta,sin theta),(-sin theta,cos theta)|`, then |2A| is equal to
Evaluate the following determinant:
`|(a,h,g),(h,b,f),(g,f,c)|`
Without expanding evaluate the following determinant.
`|(1,a,b+c),(1,b,c+a),(1,c,a+b)|`
Evaluate the following determinant:
`|(a,h,g),(h,b,f),(g,f,c)|`
Evaluate the following determinant :
`|(3,-5,2),(1,8,9),(3,7,0)|`
Find the value of x if `|(x,-1,2),(2x,1,-3),(3,-4,5)|` = 29
Find the value of x if `|(x,-1,2),(2x,1,-3),(3,-4,5)|` = 29
Evaluate the following determinant:
`|(3,-5,2),(1,8,9),(3,7,0)|`
Evaluate the following determinant:
`|(4, 7), (-7, 0)|`
Evaluate the following determinant:
`|(3,-5,2),(1,8,9),(3,7,0)|`
Evaluate the following determinant:
`|(3,-5,2),(1,8,9),(3,7,0)|`
Without expanding evaluate the following determinant.
`|(1,a,b+c),(1,b,c+a),(1,c, a+b)|`
Evaluate the following determinant:
`[(a, h, g),(h, b, f),(g, f, c)]`
