We swear to be friends forever.

I plan to go to Great Britain next year.

There are many buds on the cherry tree in the garden.

Shingo is my best friend.

I always have candy in my pocket.

A positive-definite matrix is an important concept in linear algebra.

A positive-semidefinite matrix is one of the important concepts in linear algebra.

In linear algebra, triangular matrices play a very important role.

A skew-symmetric matrix has the characteristic that its transpose matrix is the inverse of the original matrix.

The calculation of this transposed matrix is a bit complicated.