Common pattern

Question 1

the product of two upper triangular matrices is ?

Answer 1

un upper triangular matrix

Question 2

the product of two diagonal matrices is a ?

Answer 2

a diagonal matrix
with element given by the product of the diagonal element
a1b1 0
0 a2b2

Question 3

any square matrix A can be written as the sum of a ____ and a _____ matrix

Answer 3

any square matrix A can be written as the sum of a symmetric and a skew-symmetri matrix

Question 4

ATA is symmetric?

Answer 4

yes