Question:
If A = xy z yz x zx y where x, y and z are integers is an orthogonal matrix, then what is A 2 equal to?
If A = xy z yz x zx y where x, y and z are integers is an orthogonal matrix, then what is A 2 equal to?
Options:
- a) Null matrix
- b) Identity matrix
- c) A
- d) -A Direction for Questions (11-13): Consider the following for the three (03) items that follow: Let p = tan 2a – tana and q = cota – cot 2a. Time Allowed : 2 hrs 30 min T otal Marks : 300 Instructions
- a) Null matrix
- b) Identity matrix
- c) A
- d) -A Direction for Questions (11-13): Consider the following for the three (03) items that follow: Let p = tan 2a – tana and q = cota – cot 2a. Time Allowed : 2 hrs 30 min T otal Marks : 300 Instructions
correct answer : b)
Explanation:
We know that for orthogonal
matrix
AT = A-1 Þ AAT = AA-1 = I
Þ A2 = I ( A = AT)
We know that for orthogonal
matrix
AT = A-1 Þ AAT = AA-1 = I
Þ A2 = I ( A = AT)