5.2 Simultaneous Equations Ill Write the following sets of simultaneous equations in matrix form, and check the determinant to see whether there is a solution: 0x₁ + 7x2 + 1x3 = 3, 3x1 + 6x2 + 3x3 = 8, -3x₁ + 8x2 - 1x3 = 2. 1x₁ + 8x2 + 4x3 = 0, b. -1x₁ + 1x₂ + 7x3 = 7, a. C. - 6x₁ + 7x2 − 2x3 = 3. 6x₁ +5x21x3 + 6x4 = 0, -2x1 + 2x2 + 2x3 + 2x4 = 1, 1x₁ − 1x₂ + 1x3 - 2x4 = 1, 7x1 - 3x2 + 8x3 + 4x4 = 4. If a solution exists, solve the equations using matrix methods.

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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5.2 Simultaneous Equations ||
Write the following sets of simultaneous equations in matrix form, and
check the determinant to see whether there is a solution:
0x₁ + 7x2 + 1x3 = 3,
3x₁ + 6x₂ + 3x3 = 8,
-3x₁ + 8x2 - 1x3 = 2.
1x₁ + 8x2 + 4x3 = 0,
b. -1x₁ + 1x₂ + 7x3 = 7,
a.
C.
6x₁ + 7x2 - 2x3 = 3.
6x₁ + 5x2 - 1x3 + 6x4 = 0,
-2x₁ + 2x₂ + 2x3 + 2x4 = 1,
1x₁ - 1x2 + 1x3 - 2x4 = 1,
7x₁ - 3x2 + 8x3 + 4x4 = 4.
If a solution exists, solve the equations using matrix methods.
Transcribed Image Text:5.2 Simultaneous Equations || Write the following sets of simultaneous equations in matrix form, and check the determinant to see whether there is a solution: 0x₁ + 7x2 + 1x3 = 3, 3x₁ + 6x₂ + 3x3 = 8, -3x₁ + 8x2 - 1x3 = 2. 1x₁ + 8x2 + 4x3 = 0, b. -1x₁ + 1x₂ + 7x3 = 7, a. C. 6x₁ + 7x2 - 2x3 = 3. 6x₁ + 5x2 - 1x3 + 6x4 = 0, -2x₁ + 2x₂ + 2x3 + 2x4 = 1, 1x₁ - 1x2 + 1x3 - 2x4 = 1, 7x₁ - 3x2 + 8x3 + 4x4 = 4. If a solution exists, solve the equations using matrix methods.
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