Advertisements
Advertisements
प्रश्न
Find the adjoint of the matrix `"A" = [(2,-3),(3,5)]`
उत्तर
`"A" = [(2,-3),(3,5)]`
A11 = (-1)1+1 (5) = 5
A12 = (-1)1+2 (3) = -3
A21 = (-1)2+1 (-3) = 3
A22 = (-1)2+2 (2) = 2
∴ adj (A)`=[(5,3),(-3,2)]`
APPEARS IN
संबंधित प्रश्न
State, whether the following statement is true or false. If false, give a reason.
Transpose of a 2 × 1 matrix is a 2 × 1 matrix.
State, whether the following statement is true or false. If false, give a reason.
A column matrix has many columns and only one row.
If `A = [(2),(5)], B = [(1),(4)]` and `C = [(6),(-2)]`, find B + C
If `A = [(2),(5)], B = [(1),(4)]` and `C = [(6),(-2)]`, find A + B – C
Wherever possible, write the following as a single matrix.
`[(0, 1, 2),(4, 6, 7)] + [(3, 4),(6, 8)]`
Find x and y from the given equations:
`[(5, 2),(-1, y - 1)] - [(1, x - 1),(2, -3)] = [(4, 7),(-3, 2)]`
Find x and y from the given equations:
`[(-8, x)] + [(y, -2)] = [(-3, 2)]`
Given : M = `[(5, -3),(-2, 4)]`, find its transpose matrix Mt. If possible, find M + Mt
If P = `|(8,5),(7,2)|` find P - Pt
If B = `|(15 , 13),(11,12),(10,17)|` , find the transpose of matrix Band If possible find the sum of the two matrices. If not possible state the reason.
Evaluate the following :
`|(0 , 1),(-1 , 2),(-2 , 0)| |(0 , -4 , 0),(3 , 0 , -1)|`
Evaluate the following :
`|(6 , 1),(3 , 1),(2 , 4)| |(1 , -2 , 1),(2 , 1 , 3)|`
Evaluate the following :
`|(0 , 1 , 0),(2 , 0 , -3),(1 , 0 , -2)| |(1 , -2),(3 , 4),(0 , 0)|`
If A = `|(1,3),(3,2)|` and B = `|(-2 , 3),(-4 , 1)|` find BA
Solve the equation x + y = 4 and 2x - y = 5 using the method of reduction.
`[(2 ,- 4),(0 ,0),(1 , 7)]`
Let `"M" xx [(1, 1),(0, 2)]` = [1 2] where M is a matrix.
- State the order of matrix M
- Find the matrix M
Construct a matrix A = [aij]3 × 2 whose element aij is given by
aij = `(("i" - "j")^2)/(5 - "i")`
I2 is the matrix ____________.
