Similarity Of Two Matrices

Two matrices are said to be the same, if they have the same order and the elements of the two matrices are the same.

Example:
Find the x, y, z, a, b, and x values of the equality of the two matrix below!

Answer:

1. Element row 1 column 1 (a₁₁)
2x = 4
x = 2

2. Element row 1 column 3 (a₁₃)
2 + x = y
y = 2 + 2
y = 4

3. Element row 2 columnt 1 (a₂₁)
z = 3y
z = 3(4)
z = 12

4. Elemen row 2 columnt 2 (a₂₂)
a + 1 = 4z
a + 1 = 4(12)
a = 48 - 1
a  = 47

5. Element row 3 columnt 1 (a₃₁)
b = a + 5
b = 47 + 5
b = 52

6. Elemen row 3 columnt 2 (a₃₂)
(1/2)c = b - 2
(1/2)c = 52 - 2
(1/2)c = 50
(1/2)c x 2 = 50 x 2
c = 100

So from the matrix is obtained:
a = 47
b = 52
c = 100
x = 2
y = 4
z = 12

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Referensi :

• To'Ali's book math group accounting and sales

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