12. Circle at most one response for each question. (2 pts each if correct, -1 if

Question

12. Circle at most one response for each question. (2 pts each if correct, -1 if incorrect, 0 if no response) (a). Two matrices are row equivalent if they have the same number of rows TRUE FALSE (b). If the augmented matrices of two linear systems are row equivalent, then the systems have exactly the same solution set TRUE FALSE (c). A free variable in a linear system is a variable that corresponds to a pivot column in the coefficient matrix TRUE FALSE (d). The solution set of the linear system whose augmented matrix is ai a the same as the solution set of the equation x1a1 + x2a2 + x3a3-b a3 b is TRUE FALSE (e). The equation Ax-b will always have at least one solution for any bif Ai-0 has infinitely-many solutions TRUE FALSE (f). If a set of vectors is linearly dependent, then every vector in the set can be written as a linear combination of the other vectors in the set. TRUE FALSE (g). An 8 x 5 matrix defines a mapping from R to RS TRUE FALSE (h). A mapping T : Rn ? Rm is one-to-one if each vector in Rn maps onto a unique vector in R. TRUE FALSE (i). Assuming AB and BA are defined for matrices A and B, then AB is never equal to BA TRUE FALSE

Explanation / Answer

(a) False

(b) true

(c) false

(d) true

(e) false

(f) true

(g) true

(h) false

(i) false

Please thumbs up the solution. Thanks

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