Describe the possible echelon forms of the matrix Use the notation of Example 1, A is a 4 x 3 matrix, A a a a 3 , such that a, a 2 is linearly independent and a 3 is not in Span a, a EXAMPLE 1 Let A 1 3 3 5 u 3 2 5 2 and 5 3 1 7 define a transformation T R R by T(x) Ax, so that 1 3 X1 DE X2 7 T(x) ...

The columns must be linearly independent by Theorem 7 bec ...

Describe the possible echelon forms of the matrix. Use the notation of Example 1, A is a

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Describe the possible echelon forms of the matrix. Use the notation of Example 1,

A is a 4 x 3 matrix, A = [a₁ a₂ a₃], such that {a₁, a₂} is linearly independent and a₃ is not in Span {a₁, a₂}.

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Linear Algebra And Its Applications

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6th Global Edition

Authors: David Lay, Steven Lay, Judi McDonald

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Describe the possible echelon forms of the matrix. Use the notation of Example 1, A is a

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- [₁ - EXAMPLE 1 Let A = 1-3 3 5 - - - - - - [ ] -- [] · u= 3 = 2 -5 2 and 5 3 -1 7 define a transformation T: R² → R³ by T(x) = Ax, so that 1-3 X1 = -DE X2 7 T(x) = Ax= 3 5 x13x2 3x1 + 5x₂ -X1 + 7x₂

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The columns must be linearly independent by Theorem 7 bec...View the full answer

Linear Algebra And Its Applications

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