Question

Explain:
What is matrix,
special types of matrices,
(row, column, square etc..)
do your best:)

Answer 1

Answer:

The Types Of Matrices are- A matrix that has only one row is known as a row matrix. A matrix that has only one column is known as a column matrix. A vector matrix is a column matrix that is of order 2 ×1 . A zero matrix or a null matrix is a matrix that has all its elements equal to zero.

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Answer 2

Step-by-step explanation:

$\bold{Matrix:}$

• A rectangular arrangement of numbers in the form of horizontal and vertical lines and enclosed by brackets [ ] or parenthesis ( ), is called as a matrix. The horizontal lines in a matrix are called elements or entries. The plural of matrix is matrices.

$\bold{Types \;of \;Matrices:}$

Row Matrix : A matrix having only one row is called as a row matrix.

Example : A = [2 5] and B = [8 3 -1].

Column Matrix : A matrix having only one column is called as a column matrix.

Example : A = $\pmb{\bf{\left[\begin{array}{ccc}4\\-1\\\end{array}\right] }}$ and B = $\pmb{\bf{\left[\begin{array}{ccc}-8\\4\\0\end{array}\right] }}$.

Rectangular matrix : A matrix in which the number of rows is not equal to the number of columns, is called as a rectangular matrix.

Example :  A = $\pmb{\bf{\left[\begin{array}{ccc}1&2&3\\4&5&6\\\end{array}\right] }}$.

Square matrix : A matrix in which the number of rows is equal to the number of columns, is called as a square matrix.

Example : A = $\pmb{\bf{\left[\begin{array}{ccc}1&2&3\\4&5&6\\7&8&9\end{array}\right] }}$.

Diagonal matrix : A matrix in which every non-diagonal element is 0, is called as diagonal matrix.

Example : A = $\pmb{\bf{\left[\begin{array}{ccc}5&0\\0&9\\\end{array}\right] }}$.

Unit matrix : A square matrix in which every diagonal element is 1 and every non-diagonal element is 0, is called as a unit matrix or identity matrix.

Example : A = $\pmb{\bf{\left[\begin{array}{ccc}1&0\\0&1\\\end{array}\right] }}$.

Zero matrix : A matrix in which every element is 0, is called as a zero or null matrix.

Example : A = $\pmb{\bf{\left[\begin{array}{ccc}0&0\\\end{array}\right] }}$.

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(Problems on matrices)