Determine whether the statement below is true or false. Justify the answer. Every matrix equation Ax=b corresponds to a vector equation with the same solution set. Choose the correct answer below. A. This statement is false. The matrix equation Ax=b does not correspond to a vector equation with the same solution set. O B. This statement is false. The matrix equation Ax=b only corresponds to an inconsistent system of vector equations O C. This statement is true. The matrix equation Ax=b is simply another notation for the vector equation x₁a₁ + x₂ª₂ + .... where a,,..., a are the columns of A. +xa = b. D. This statement is true. The matrix equation Ax=b is simply another notation for the vector equation x₁a₁ + x₂ª₂ +…... where a,..... a. are the rows of A. =b,
Determine whether the statement below is true or false. Justify the answer. Every matrix equation Ax=b corresponds to a vector equation with the same solution set. Choose the correct answer below. A. This statement is false. The matrix equation Ax=b does not correspond to a vector equation with the same solution set. O B. This statement is false. The matrix equation Ax=b only corresponds to an inconsistent system of vector equations O C. This statement is true. The matrix equation Ax=b is simply another notation for the vector equation x₁a₁ + x₂ª₂ + .... where a,,..., a are the columns of A. +xa = b. D. This statement is true. The matrix equation Ax=b is simply another notation for the vector equation x₁a₁ + x₂ª₂ +…... where a,..... a. are the rows of A. =b,
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:Determine whether the statement below is true or false. Justify the answer.
Every matrix equation Ax=b corresponds to a vector equation with the same solution set.
Choose the correct answer below.
A. This statement is false. The matrix equation Ax=b does not correspond to a vector equation with the same solution set.
B. This statement is false. The matrix equation Ax=b only corresponds to an inconsistent system of vector equations.
C. This statement is true. The matrix equation Ax=b is simply another notation for the vector equation X₁₁ +₂³₂ +---+X³ =b₁
where a,,..., a, are the columns of A.
D. This statement is true. The matrix equation Ax=b is simply another notation for the vector equation X₁a₁ +X₂ª² + ……...
+xa = b.
where a₁...
a are the rows of A.
wrong
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