Determine whether the statement below is true or false. Justify the answer. The solution set of the linear system whose augmented matrix is [a, a2 a3 b]is equation X₁₁ + x₂a2 + x3 a3 =b. Choose the correct answer below. .... is the same as the solution set of the OA. True. The augmented matrix for x₁a₁ + x₂a₂ + x3a3 = bis a₁ a₂ a3 b O B. False. The solution set for an augmented matrix is not the same as the solution set of an equation. OC. False. The augmented matrix for x, a₁ + x2a₂ + x3a3 =b is not a₁ a2 a3 b »] O D. True. The augmented matrix for x₁a₁ + x₂a₂ + x3a3 = bis [X₁ X2 X3 b].

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Question

Please solve and show all work using Linear Algebra.

Determine whether the statement below is true or false. Justify the answer.
³ [₁
b]is
The solution set of the linear system whose augmented matrix is a, a₂ a3 b is the same as the solution set of the
equation X₁a₁ + x₂a₂ + X3 a3 =b.
Choose the correct answer below.
O A.
True. The augmented matrix for x₁a₁ + x₂ª₂ + x3ª3 = bis [a₁ a₂ a3 b]
O B. False. The solution set for an augmented matrix is not the same as the solution set of an equation.
O C.
False. The augmented matrix for x₁ a₁ + x₂₂ + x3ª = b is not [a₁ a2 a3 b].
O D.
True. The augmented matrix for x₁a₁ + X₂a₂ + X3 a3 =bis X₁ X2 X3 b
Transcribed Image Text:Determine whether the statement below is true or false. Justify the answer. ³ [₁ b]is The solution set of the linear system whose augmented matrix is a, a₂ a3 b is the same as the solution set of the equation X₁a₁ + x₂a₂ + X3 a3 =b. Choose the correct answer below. O A. True. The augmented matrix for x₁a₁ + x₂ª₂ + x3ª3 = bis [a₁ a₂ a3 b] O B. False. The solution set for an augmented matrix is not the same as the solution set of an equation. O C. False. The augmented matrix for x₁ a₁ + x₂₂ + x3ª = b is not [a₁ a2 a3 b]. O D. True. The augmented matrix for x₁a₁ + X₂a₂ + X3 a3 =bis X₁ X2 X3 b
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