MAT2611
ASSIGNMENT 8
2025
, PROBLEM 1
a).
Given A is orthogonal then we have
AAT = AT A = I
Now for AT :
(AT )T AT = (AT )T AT ∴ (AT )T = A
(AT )T AT = AAT ∴ Remember ∶ AAT = AT A = I
(AT )T AT = I
Also
AT (AT )T = AT (AT )T ∴ (AT )T = A
AT (AT )T = AT A ∴ Remember ∶ AAT = AT A = I
AT (AT )T = I
Therefore
ASSIGNMENT 8
2025
, PROBLEM 1
a).
Given A is orthogonal then we have
AAT = AT A = I
Now for AT :
(AT )T AT = (AT )T AT ∴ (AT )T = A
(AT )T AT = AAT ∴ Remember ∶ AAT = AT A = I
(AT )T AT = I
Also
AT (AT )T = AT (AT )T ∴ (AT )T = A
AT (AT )T = AT A ∴ Remember ∶ AAT = AT A = I
AT (AT )T = I
Therefore