Home
Class 12
MATHS
Evalute the determinants : A=|{:(1,0,1...

Evalute the determinants : `A=|{:(1,0,1),(0,1,2),(0,0,4):}|`

Text Solution

AI Generated Solution

To evaluate the determinant \( A = \begin{vmatrix} 1 & 0 & 1 \\ 0 & 1 & 2 \\ 0 & 0 & 4 \end{vmatrix} \), we can use the method of cofactor expansion along the first row. ### Step-by-Step Solution: 1. **Write the determinant**: \[ A = \begin{vmatrix} 1 & 0 & 1 \\ 0 & 1 & 2 \\ 0 & 0 & 4 \end{vmatrix} \] ...
Promotional Banner

Topper's Solved these Questions

  • DETERMINANTS

    NAGEEN PRAKASHAN ENGLISH|Exercise Exercise 4.2|16 Videos

  • DETERMINANTS

    NAGEEN PRAKASHAN ENGLISH|Exercise Exercise 4.3|5 Videos

  • DETERMINANTS

    NAGEEN PRAKASHAN ENGLISH|Exercise Exercise 4g|10 Videos

  • Continuity and Differentiability

    NAGEEN PRAKASHAN ENGLISH|Exercise Miscellaneous Exercise|23 Videos

  • DIFFERENTIAL EQUATIONS

    NAGEEN PRAKASHAN ENGLISH|Exercise Miscellaneous Exercise|18 Videos

Similar Questions

Explore conceptually related problems

Evalute the determinat Delta=|{:(1,3,-1),(0,1,2),(1,2,3):}|

Evalute 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):}|

Evalute the determinant: : [{:(2,4),(-5,-1):}]

Write minros and cofactros of the elements of the determinants: (i) |{:(1,0,4),(3,5,-1),(0,1,2):}|

Evaluate the determinant Delta=|(1,2,4),(-1,3,0),(4,1,0)|

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)|

If A=[{:(1,0,0),(1,0,1),(0,1,0):}] , then

Write the minor and cofactor of each element of the following determinants and also evaluate the determinant in each case: |[1,0,0],[0,1,0],[0,0,1]|

Evaluate the determinants |[3,-1,-2],[0,0,-1],[3,-5,0]|

Evaluate the determinants |[3,-1,-2],[0,0,-1],[3,-5,0]|