HOW TO SUBTRACT TWO MATRICES

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Key Concept

Examples 1-5 : In each case, find the difference of two matrices.

Example 1 :

Solution :

Order of the first matrix = 2 x 2

Order of the second matrix = 2 x 2

Since the order the first matrix and order of the secnd matrix are equal, we can find the difference of the two matrices given above.

Example 2 :

Solution :

Order of the first matrix = 3 x 2

Order of the second matrix = 3 x 2

Since the order the first matrix and order of the secnd matrix are equal, we can find the difference of the two matrices given above.

Example 3 :

Solution :

Order of the first matrix = 3 x 3

Order of the second matrix = 3 x 3

Since the order the first matrix and order of the secnd matrix are equal, we can find the difference of the two matrices given above.

Example 4 :

Solution :

Order of the first matrix = 2 x 3

Order of the second matrix = 2 x 3

Since the order the first matrix and order of the secnd matrix are equal, we can find the difference of the two matrices given above.

Example 5 :

Solution :

Order of the first matrix = 3 x 2

Order of the second matrix = 2 x 2

Since the order the first matrix and order of the secnd matrix are NOT equal, we can NOT find the difference of the two matrices given above.

Example 6 :

Find the values of a, b, c and d in the following matrix equation.

Solution :

Since the above two matrices are equal of the same order, the corresponding elements can be equated.

a - 2 = 3

a = 5

5b = 15

b = 3

-2c = -2

c = 1

2d = 8

d = 4

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