Homework Answers
Option 1 and 4 are correct
Symmetric matrix is the matrix which is equal to its transpose matrix
For example
So we got symmetric matrix hence option is correct.
Therefore second option is not correct
![B-39 - 6 ]- 2 2 (](http://img.homeworklib.com/questions/e8a41dd0-449a-11eb-8b0d-af0f75c2ac13.png?x-oss-process=image/resize,w_560)
this is not symmetric so 3 option is not correct
![واحدها و نهادئه 11 date) ره وه ئاههثه -12 6 d ا = [4] [3] [2] [4]](http://img.homeworklib.com/questions/e92fdce0-449a-11eb-b52a-573fbdca1861.png?x-oss-process=image/resize,w_560)
Result is symmetric matrix hence 4 option is correct
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5. Recall that a symmetric matrix A is positive definite (SPD for short) if and only if T Ar > O for every nonzero vector 2. 5a. Find a 2-by-2 matrix A that (1) is symmetric, (2) is not singular, and (3) has all its elements greater than zero, but (1) is not SPD. Show a nonzero vector such that zAx < 0. 5b. Let B be a nonsingular matrix, of any size, not necessarily symmetric. Prove that the matrix...
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Need help with linear algebra problem!
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