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Let A b. The dimension of the column space of A is A. Two of the three columns in rref(A) have pivots. B. rref(A) has a pivot in every column. OC. Two of the three columns in rref(A) are free variable columns. D. The basis we found for the column space of A has two vectors. E. rref(A) is the identity matrix. OF. Two of the three columns in rref(A) do not have a pivot. G. rref(A) has a pivot in every row. c. The column space of A is a subspace of 2 4 -6 9 6 -15 10 3 a. A basis for the column space of A is { }. You should be able to explain and justify your answer. Enter a coordinate vector, such as <1,2> or <1,2,3,4>, or a comma separated list of coordinate vectors, such as <1,2>, <3,4> or <1,2,3,4>,<5,6,7,8>. because (select all correct answers -- there may be more than one correct answer): because each column vector in A is a vector in R^4 d. The geometry of the column space of A is a 2-dimensional plane through the origin inside R^4
Let a. A basis for the null space of A is { coordinate vectors, such as <1,2,3,4>, <5,6,7,8>. b. The dimension of the null space of A is A. rref(A) has one free variable column. B. rref(A) has a pivot in every row. C. rref(A) has two free variable columns. DD. Three of the four columns in rref(A) have pivots. 1 2 -2 }. You should be able to explain and justify your answer. Enter a coordinate vector, such as <1,2,3,4>, or a comma separated list of E. rref(A) is the identity matrix. DF. Two of the four columns in rref(A) do not have a pivot. G. The basis we found for the null space of A has two vectors. 8 1 -2 2 -2 2 6 3 41 -1 3 because (select all correct answers -- there may be more than one correct answer): c. The null space of A is a subspace of d. The geometry of the null space of A is a 2-dimensional plane through the origin inside R^4 because A has 4 columns
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