Math, asked by carolin3213, 12 hours ago

6x+4y_z+3 and 2x_3y_2z+4

Answers

Answered by happychaudhary181
0

Given system of linear equations are

2x + 3y + 3z = 5

x - 2y +z = -4

3x - y2z = 3.

Represent it in matrix form

3 -2 -1 3 1 X y 5 -4 which is in the 3 1 3 form of AX = B

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2 1 3 3 -2 -1 A = 3 1 2 N

|A| = 10 + 15 + 15 = 40 / 0

... A-¹ exists

To find adjoint of A

A11 = 5, A12 = 5, A13 = 5

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A213, A22 = -13, A23 = 11

A319, A32 = 1, A33 = -7

A-¹ -1 1 |A| Adj (A)

[5 5 5 3 -13 11 9 1 -7 1 40

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X = A=¹B

5 5 5 3 -13 11 9 1 5 -4 3 1 40

[25-12+27

X = A ¹B

1

40

-13

5 5 3 9 1 -7 5 -4 3 11

5

[25-12 +27 25 +52 +3 25 - 44 - 21 1 40

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40 80

X 1 40

40 81

X 2 Z

Hence, x = 1, y

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