Finite Math - !st Quarter

Matrix

It is defined as a rectangular array (or arrangement in rows or columns) of scalar subject to certain rules of operations.

Element

Each of the mn numbers is called an ______ of the matrix

Single Capital Letter

A matrix is usually denoted by a __________________ A, B, or C etc.

Real Matrix

A matrix is said to be real if all its elements are real numbers.

Square Matrix

A matrix in which the number of rows is equal to the number of columns is called a ________.

Rectangular Matrix

A matrix in which the number of rows is equal to the number of columns is called a square Matrix. Otherwise it is sad to be ____________.

N-rowed square matrix

A square Matrix having an N rows and N columns is called ____________.

Diagonal Elements

The elements a₁₁, a₂₂, a₃₃ of a square matrix are called its ___________.

Principal or Leading diagonal

The elements a₁₁, a₂₂, a₃₃ of a square matrix are called its diagonal elements and the diagonal along with those elements are called ___________.

Trace or Spur

The sum of the diagonal elements of a square matrix is called its______or ________.

Row Matrix

A matrix having only one row and any number of columns.

Column Matrix

A matrix having only one column and any number of rows.

Null Matrix

A matrix which each element is zero is called __________.

Void Matrix or Zero Matrix

A matrix which each element is zero is called Null Matrix or _________ or ___________.

Sub Matrix

A matrix obtained from a given matrix A by deleting some of its rows or columns or both is called a _____________.

Diagonal Matrix

A square matrix in which all non-diagonal elements are zero is called a ________________.

Scalar Matrix

A diagonal matrix in which all the diagonal elements are equal to a scalar, say k, is called ___________.

Unit Matrix or Identity Matrix

A scalar matrix in which each diagonal element is 1 is called a _____________.

Upper Triangular Matrix

A square matrix in which all the elements below the principal diagonal are zero is called ____________.

Lower Triangular Matrix

A square matrix in which all the elements above the principal diagonal is zero is called _____________.

Triangular Matrix

Is either an Upper Triangular or Lower Triangular Matrix

Single Element Matrix

A matrix having only one element is called a______.

Equal Matrices

2 matrices A and B are said to be equal if they have the same order and their corresponding elements are equal.

Singular and Non-singular Matrices

A square matrix A is said to be ———— if [A] = 0 and —————- if [A] ≠ 0.