Advertisements
Advertisements
Question
Evaluate the following determinants: `|(2"i", 3),(4, -"i")|`
Solution
`|(2"i", 3),(4, -"i")|`
= 2i(– i) – 3(4)
= – 2i2 – 12
= – 2(– 1) –12 ...[∵ i2 = – 1]
= 2 –12
= – 10
APPEARS IN
RELATED QUESTIONS
Find the value of x, if `|(x, -1, 2),(2x, 1, -3),(3, -4, 5)|` = 29
Find |AB| if A = `[(3,-1),(2,1)]` and B = `[(3,0),(1,-2)]`
Prove that `|(1/a,bc,b+c),(1/b,ca,c+a),(1/c,ab,a+b)|` = 0
If A = `|(cos theta,sin theta),(-sin theta,cos theta)|`, then |2A| is equal to
If Δ = `|(a_11,a_12,a_13),(a_21,a_22,a_23),(a_31,a_32,a_33)|` and Aij is cofactor of aij, then value of Δ is given by:
Evaluate `|(10041,10042,10043),(10045,10046,10047),(10049,10050,10051)|`
Without actual expansion show that the value of the determinant `|(5,5^2,5^3),(5^2,5^3,5^4),(5^4,5^5,5^6)|` is zero.
Evaluate the following determinants :
`|(3,-5,2),(1,8,9),(3,7,0)|`
Evaluate the following determinant:
`|(a,h,g),(h,b,f),(g,f,c)|`
Evaluate the following determinant:
`|(a,h,g),(h,b,f),(g,f,c)|`
Find the value of x if `|(x, -1, 2),(2x, 1, -3),(3, -4, 5)| = 29`
Evaluate the following determinant:
`|(a, h, g),(h, b, f),(g, f, c)|`
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)|`
Evaluate the following determinant:
`|(a,h,g),(h,b,f),(g,f,c)|`
Find the value of x if `|(x, 2x, 3),(-1, 1, -4),(3, -3, 5)|` = 29
Evaluate the following determinant:
`[(4, 7) ,(-7, 0)]`
Evaluate the following determinant:
`|(a, h, g),(h, b, f),(g, f, c)|`