Question:
Consider the following in respect of a non- singular matrix M: I. |M2| = |M|2 II. |M| = |M-1| I. |M| = |MT| How many of the above are correct?
Consider the following in respect of a non- singular matrix M: I. |M2| = |M|2 II. |M| = |M-1| I. |M| = |MT| How many of the above are correct?
Options:
- a) None
- b) One
- c) T wo
- d) All three
- a) None
- b) One
- c) T wo
- d) All three
correct answer : c)
Explanation:
For non-singular matrix
we know that
|Mn| =|M|n, |M-1| = 1
||M
and |MT| = |M|
For non-singular matrix
we know that
|Mn| =|M|n, |M-1| = 1
||M
and |MT| = |M|