Question

Question 28 on this pictured math sheet please. Have a great day!

Answer 1

Answer:

A rectangular array of numbers arranged in horizontal and vertical lines enclosed between round or square brackets is called a matrix.

Types of Matrix

According to order of matrix or value of elements,we can classify the matrices. some of the types of matrices are as follows:

• Column Matrix

A matrix having only one column is called a column Matrix.

• Row matrix

A matrix having only one row is called row matrix.

• Square matrix

A matrix having the numbers of rows equal to the numbers of column is called the square matrix.

• Rectangular matrix

A matrix having the number of rows not equal to the number of column of a matrix is called the rectangular matrix.

• Null matrix( zero matrix)

A matrix of any order in which each element is zero is called the null matrix( zero matrix).

• Diagonal matrix

A square matrix in which all the elements of leading diagonal are non-zero and the rest of the elements are zero is called a diagonal matrix.

• Unit matrix( Identity matrix)

A diagonal matrix in which all the elements of leading diagonal are 1(unit) is called unit matrix.

• Scalar matrix

A diagonal matrix in which all the element of leading diagonal are equal is called scalar matrix.

• Triangular matrix

A square matrix having all the elements below the diagonal and above the diagonal zero is called triangular matrix.

• Symmetric matrix

A square matrix is called a symmetric matrix, if it's

(i,j) th element is equal to its (j,i) th elemnent.

• Skew-symmetric matrix

A square matrix B=b ij is called a skew- symmetric matrix if it's (i,j) th element is negative of its ( j, i) th element.

• Equal matrix

Two matrices are said to be equal if they have same order and corresponding elemnents of both matrices are equal.

Hope this helps..

Good luck on your assignment...