Advertisements
Advertisements
प्रश्न
Without expanding evaluate the following determinant:
`|(2, 3, 4),(5, 6, 8),(6x, 9x, 12x)|`
उत्तर
Let D = `|(2, 3, 4),(5, 6, 8),(6x, 9x, 12x)|`
Taking (3x) common from R3, we get
D = `3x|(2, 3, 4),(5, 6, 8),(2, 3, 4)|`
= (3x)(0) ...[∵ R1 and R3 are identical]
= 0
APPEARS IN
संबंधित प्रश्न
Evaluate the following determinant:
`|(4, 7),(-7, 0)|`
Find the value(s) of x, if `|(2, 1, x + 1),(-1, 3, -4),(0, -5, 3)|` = 0
Evaluate `|(3,-2,4),(2,0,1),(1,2,3)|`
The value of `|(5,5,5),(4x,4y,4z),(-3x,-3y,-3z)|` is
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:
If any three rows or columns of a determinant are identical then the value of the determinant is:
Evaluate `|(10041,10042,10043),(10045,10046,10047),(10049,10050,10051)|`
Evaluate the following determinants :
`|(4,7),(-7,0)|`
Without expanding evaluate the following determinant.
`|(1,a,a + c),(1,b,c + a),(1,c,a + b)|`
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:
`|(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:
`|(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.
`|(3,-5,2),(1,8,9),(3,7,0)|`
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.