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High School Mathematics - 2
6.13 Matrix Revision - II

1. Identity Matrix:-
A square matrix in which each element along the principal diagonal is '1' and all the other elements are zero is called a identity matrix or unit matrix.

2. Square matrix:-
In a matrix if the number of rows is equal to the number of columns it is called a square matrix.

3. Scalar Matrix:-
A square matrix in which all the element in the principal diagonal are equal and the rest of the elements are zeros is called a scalar matrix.

4. Transpose of a Matrix:-
The matrix obtained by interchanging the rows and columns of a given matrix is called the transpose of the given matrix.

5. Skew Symmetric Matrix:-
If the transpose of a matrix is equal to the additive inverse of a given matrix, then the given matrix is called "Skew symmetric matrix"

6. If A and B are two matrices such that the number of columns in A is equal to the number of rows in B, then only matrix multiplication is possible in A and B.

7. Two matrices are equal if and only if they are of the same order and their corresponding elements are equal.

Directions: Answer the following questions. Also write five examples of each matrix.
Q 1: An identity matrix is a square matrix, in which the elements of the principal diagonal are each '1' and all other elements are zero.

Q 2: One of the following is a 3 3 matrix.


Q 3: If a matrix is equal to its transpose it is called a ______ matrix.
Skew symmetric

Q 4: A matrix in which each element is zero is called a ______ matrix.

Q 5: One of the following is an identity matrix.


Q 6: A matrix in which the number of rows is not equal tot he number of columns is called a _____ matrix.

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Question 8: This question is available to subscribers only!

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