Home
Class 12
MATHS
If A is a square matrix of order 3 such ...

If A is a square matrix of order 3 such that `|A|=2` , then write the value of `a d j(a d jA)dot`

Text Solution

Verified by Experts

We know that `adj(adjA)=|A|^(n−2)⋅A`
, where n is order of the matrix.
It is given that A is a square matrix of order 3.
`adj(adjA)=|A|^(3−2)⋅A=(2)^1⋅A=2A.`
adj(adjA)=2A.
Promotional Banner

Topper's Solved these Questions

  • ADJOINTS AND INVERSE OF MATRIX

    RD SHARMA|Exercise QUESTION|1 Videos
  • ALGEBRA OF MATRICES

    RD SHARMA|Exercise Solved Examples And Exercises|410 Videos

Similar Questions

Explore conceptually related problems

If A is a square matrix of order 3 such that |A|=2, then write the value of adj(adjA)

If A is an square matrix of order 3 such that |A|=2, then write the value of |adj(adjA)|

If A is a square matrix of order 3 such that |A|=5 , write the value of |a d j\ A| .

If A is a square matrix of order 3 such that |A|=3, then find the value of |adj(adjA)|

If a is a square matrix of order 3 such that A^2 = 2A then find the value of |A|

8.If A is a square matrix of order 3 and |3A|=k1A1, then write the value of k.

If A is square matrix of order 3 , with |A|=9 , then write the value of |2adj.A|

If A is a square matrix of order 3 with |A|=9 , then write the value of |2.adj.A| .

If A is a square matrix of order 3 and |5A| = k|A|, then write the value of k

If A is a square matrix of order 3 such that |adjA|=64 , then the value of |A| is :