Linear Algebra

The greatest German mathematician of the 19th century who first used the term “determinant” in 180.

• Carl Gauss

• Augustin Cauchy

• Arthur Cayley

• Rene Descartes

It is a rectangular arrays of items.

By convention matrices are “sized” using the number of rows (m) by number of columns (n).

• True

• False

It is an mxn matrix where BOTH m and n = 1

It is a square (mxn) matrix with 1s on the diagonal and zeros everywhere else.

A square matrix where all the elements are zero except those on the main diagonal

Only matrices of the same size can be added.

• True

• False

The product of a scalar k and a matrix H, denoted by kH, is the matrix in which each element is obtained by multiplying k by the corresponding element of H

• True

• False

To multiply a scalar times a matrix, simply add each element of the matrix by the scalar quantity

• True

• False

Two matrices A and B must be conformable for multiplication to be possible i.e. the number of columns of A must equal the number of rows of B.

• True

• False