Question
Question: If \[{D_1}\] and \[{D_2}\] are two 3 x 3 diagonal matrices, then 1,2,3 are correct. (A) \[{D_1}{D...
If D1 and D2 are two 3 x 3 diagonal matrices, then 1,2,3 are correct.
(A) D1D2 is a diagonal matrix
(B) D1+D2 is a diagonal matrix
(C) D12+D22is a diagonal matrix
(D) 1,2,3 are correct
Explanation
Solution
Diagonal matrices contain only diagonal elements So, first of all, take two any diagonal matrices then after the check option it is diagonal or not? Now multiply the two diagonal matrices D1 and D2 and check it is diagonal matrices. Now add the two diagonal matrices D1andD2 and check it is diagonal matrices. Now take the square of two diagonal matrices D1 and D2 and add this square then check it is diagonal matrices.
Complete Step-by-step Solution
Take two any diagonal matrices and test rule that showing in option let us assume: