Question

Q.1) In a matrix if,
A*AT=1
a) A is Identity matrix
b) A is singular matrix
c) A is Orthogonal matrix
d) A is non-singular matrix
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Answer 1

Answer:

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first we define a "B" matrix like below :

first we define a "B" matrix like below :B=(A−1)so :BT=(A−1)T∗and we can write :AB=Ithen(AB)T=IT and BTAT=IFrom this equation we can say that :BT=(AT)−1and finally from * we can write :BT=(A−1)T=(AT)−1

d) A is non-singular matrix

Step-by-step explanation:

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Answer 2

Correct answer:-

option d) A is a non-singular matrix.

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