Class 12 MATRICES ppt for maths, Summaries of Mathematics

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CHAPTER 3 :-

MATRICES

Guided by :-

Prepared

by :-

SH. M. S.

Goyal sir

Hardik

Rohit

Exercises

Topic to be discover

Matrix

1.Order of a Matrix

2.Types of Matrices

3.Equality of

Matrices

Parts of matrices

Order of a

Matrix: If a matrix

has m rows and n columns, then its order is written as m × n. If a matrix has

Types of Matrices

1. Column Matrix : A matrix

which has only one column, is called a column matrix. In general, A = [a ij

]

m× is a column matrix of order m ×

Row Matrix : A matrix

which has only one row, is called a row matrix, e.g. In general, A = [a ij

]

1×n is a row matrix of order 1 x n

Diagonal Matrix: A square

matrix whose all the elements

except the diagonal elements

are zeroes, is called a diagonal

matrix,

Scalar Matrix: A diagonal

matrix whose all diagonal

elements are same (non-

zero), is called a scalar

matrix,

Note : A scalar matrix is a diagonal matrix but a diagonal matrix may or may not be a

Zero or Null

Matrix: A matrix is

said to be a zero or null matrix, if its all elements are zer

Equality of Matrices: Two matrices A and B are said to be equal, if (i) order of A and B are same. (ii) corresponding elements of A and B are same i.e. a ij = b ij , ∀ i and j.

Exercises

Topic to be discover Addition and Subtraction of Matrices

1. Properties of Addition of Matrices
2. Multiplication of a matrix by scalar number
3. Properties of Scalar Multiplication of a Matrix
4. Multiplication of Matrices