Please Answer Both Questions Thank You 1 (156.55 KiB) Viewed 31 times
Let b. The dimension of the null space of A is A. rref(A) is the identity matrix. B. rref(A) has a pivot in every row. C. The basis we found for the null space of A has two vectors. D. rref(A) has two free variable columns. E. Two of the three columns in rref(A) have pivots. F. Two of the three columns in rref(A) do not have a pivot. G. rref(A) has one free variable column. A c. The null space of A is a subspace of = a. A basis for the null space of A is { <-4,-4,-8> }. You should be able to explain and justify your answer. Enter a coordinate vector, such as <1,2,3>, or a comma separated list of coordinate vectors, such as <1,2,3>,<4,5,6>. -3 -3 6 -4 3 -4 3 -8 6 because (select all correct answers because A has 3 columns d. The geometry of the null space of A is a 2-dimensional plane through the origin inside R^3 —— - there may be more than one correct answer):
Let a. A basis for the column space of A is { coordinate vectors, such as <1,2,3>,<4,5,6>. b. The dimension of the column space of A is A. Two of the three columns in rref(A) do not have a pivot. B. Two of the three columns in rref(A) have pivots. A C. Two of the three columns in rref(A) are free variable columns. | D. rref(A) has a pivot in every row. E. The basis we found for the column space of A has two vectors. F. rref(A) is the identity matrix. c. The column space of A is a subspace of - 3 2 6 1 1 }. You should be able to explain and justify your answer. Enter a coordinate vector, such as <1,2,3>, or a comma separated list of 1 because (select all correct answers there may be more than one correct answer): because each column of A is a vector in R^3 d. The geometry of the column space of A is a 2-dimensional plane through the origin inside R^3 ✓
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