Mathematics Grade 11

A matrix with all entries 0 is called a zero matrix.

A diagonal matrix is a square matrix that has zeros everywhere except along the main diagonal.

The identity (unity) matrix is a diagonal matrix where all the elements of diagonal are ones.

A scalar matrix is a diagonal matrix where all elements of the diagonal at

A lower triangular matrix is a square matrix whose elements above the mi diagonal are all zero.

An upper triangular matrix is a square matrix whose elements below the m diagonal are all zero.

Let A = (a) and B= (b) be two matrices. Then, A + B = (a + b) and A-B= (ay-by)ma-

If r is a scalar and A is a given matrix, then rA is the matrix obtained from th multiplying each element of A by r.

If A=(a) is an m x p matrix and B= (ba) is a p x n matrix, then the product is a matrix C= (Ca) of order mx n, where C₁ = aybi + aq b₂ + ab +...+abpi

The transpose of a matrix A is the matrix found by interchanging the rows columns of A. It is denoted by AT.