Solve
Guides
0
You visited us 0 times! Enjoying our articles? Unlock Full Access!
Question

Q6. (a) Examine whether the following matrix is diagonalizable. If so, obtain the matrix \( P \) such that \( p ^ { - 1 } A P \) is a diagonal matrix \( A = \left[ \begin{array} { c } { - 2 } \\ { 2 } \\ { - 1 } \end{array} \right. \) \( - 3 \) \( - 6 \) 0

Open in App
Solution
Verified by Toppr


Was this answer helpful?
5
Similar Questions
Q1
In the set of all 3×3 real matrices a relation is defined as follows. A matrix A is related to a matrix B if and only if there is a non-singular 3×3 matrix P such that B=P−1AP. This relation is
View Solution
Q2
If matrix A=[1221] and non-singular matrix P=[−11ab] is such that P−1AP=diag(−1,3), then the sum of all the elements of A100 is
View Solution
Q3
If P is a 3×3 matrix such that PT=2P+I, where PT is the transpose of P and I is 3×3 identity, then there exists a column matrix X=⎡⎢⎣xyz⎤⎥⎦≠⎡⎢⎣000⎤⎥⎦ such that PX=
View Solution
Q4
Assertion :The matrix ⎡⎢⎣a0000b0000c0⎤⎥⎦ is a diagonal matrix Reason: A[aij] is a square matrix such that aij=0 for all i≠j, then A is called diagonal matrix.
View Solution
Q5
Assertion :⎡⎢⎣300040007⎤⎥⎦ is a diagonal matrix. Reason: If A=[aij] is a square matrix such that aij=0,∀i≠j, then A is called a diagonal matrix.
View Solution