Orthogonally diagonalizable. I need clarity

[john458776]

I have a little problem.
View attachment 32176

When I solve this problem I'm suppose to get the diagonal matrix that contain x : (10,1,1) diagonal.
View attachment 32177

When I do multiplication on the 2nd row, 3rd column I don't get zero I get something like square root of 10 over 10 on the diagonal matrix, I dont know if i made a mistake somewhere or what but I tried multiple times. I don't know what might be the problem.

 

[Deleted member 4993]

I have a little problem.
View attachment 32176
When I solve this problem I'm suppose to get the diagonal matrix that contain x : (10,1,1) diagonal.
View attachment 32177

When I do multiplication on the 2nd row, 3rd column I don't get zero I get something like square root of 10 over 10 on the diagonal matrix, I dont know if i made a mistake somewhere or what but I tried multiple times. I don't know what might be the problem.

Please show us your attempt - in detail - so that we can catch any mistake on the way.

 

[john458776]

Please show us your attempt - in detail - so that we can catch any mistake on the way.

I have attached a screenshot, where I need clarity with. I'll attach another screenshort.

 

[Steven G]

Please show us your work. What you posted looks good (I did not multiply out the three matrices) as you did get a diagonal matrix.

 

[john458776]

Please show us your attempt - in detail - so that we can catch any mistake on the way.