PROPERTIES OF MATRIX OPERATIONS

For any matrices A, B, and C with the same dimensions and any scalar c, the following properties are true.

Addition Property of matrix :

If two matrices are having same order, then the corresponding terms can be added together.

The result matrix will also have the same order.

A + B = C

Subtraction Property of Matrix :

If two matrices are having same order, then the corresponding terms can be subtracted.

The result matrix will also have the same order.

A - B = C

Commutative Property of Addition :

A + B = B + A

Associative Property of Addition :

(A + B) + C = A + (B + C)

Distributive Property :

c(A + B) = cA + cB

Problem 1 :

Perform the indicated matrix operations. If the matrix does not exist, write impossible.

Solution:

Problem 2 :

Solution:

Order of the first matrix is 2 x 2 and order of the second matrix is 2 x 3. So, the matrix cannot be added.

Problem 3 :

Solution:

Problem 4 :

Solution:

Problem 5 :

Solution:

Problem 6 :

Solution:

Problem 7 :

Solution:

Problem 8 :

Solution:

Problem 9 :

Solution:

Problem 10 :

Solution:

Recent Articles