Section 1.1: Systems of Linear Equations A linear equation: a1x1 ...

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EXAMPLE: For what values <strong>of</strong> h will the following system beconsistent?3x 1 9x 2 42x 1 6x 2 hSolution: Reduce to triangular form.3 9 42 6 h1 3432 6 h41 330 0 h 8 3The second <strong>equation</strong> is 0x 1 0x 2 h 8 3only if h 8 8 0 or h 3. System is consistent3 . 12

Section 6.2 Orthogonal Sets A set of vectors u1,u2,,up in Rn is called ...

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Page 1 and 2: Section 1.1: Systems of Linear Equa
Page 3 and 4: EXAMPLE: Three equations in three v
Page 5 and 6: x 2 x 2−10 −5 5 10 x 14422−10
Page 7 and 8: Elementary Row Operations:1. (Repla
Page 9 and 10: x 1 29x 2 16x 3 31 0 0 290 1 0 1
Page 11: EXAMPLE: Is this system consistent?

Section 1.1: Systems of Linear Equations A linear equation: a1x1 ...

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