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.
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.
Chapter7: Matrices And Determinants
Section7.4: The Determinant Of A Square Matrix
Problem 3ECP
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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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