(1 point) Suppose a₁, a₂, a3, and a are vectors in R³, A = (a₁ | a₂ | a3 a4), and [1 0 2 01 1 0 00 a. Select all of the

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1 Point Suppose A A A3 And A Are Vectors In R A A A A3 A4 And 1 0 2 01 1 0 00 A Select All Of The 1 (65.44 KiB) Viewed 31 times

(1 point) Suppose a₁, a₂, a3, and a are vectors in R³, A = (a₁ | a₂ | a3 a4), and [1 0 2 01 1 0 00 a. Select all of the true statements (there may be more than one correct answer). A. {a₁, a₂} is a linearly independent set B. {a₁, 8₂, 83, 84} is a linearly independent set c. span{a₁, a2, a3, a4} = R³ OD. {a₁, a₂, a3, a4} is a basis for R³ E. span{a₁, a₂} = R³ OF. {a₁, a₂, a3, a4} is not a basis for R³ G. {a₁, a₂, a3} is a linearly independent set H. a₁ and a₂ are in the null space of A b. If possible, write ag as a linear combination of a₁ and a₂; otherwise, enter DNE. Enter a1 for a₁, etc. ag = c. If possible, write a4 as a linear combination of a₁, a2, and ag; otherwise, enter DNE. a4 = -5a1+2a2 d. The dimension of the column space of A is 2 and the column space of A is a subspace of R^3 e. Find a basis for the column space of A. Enter your answer as a comma separated list of vectors. Each vector should have the form <a,b,c> or <a,b,c,d> where a,b,... are numbers. Do not use the symbols a₁, a2, ... in your answers. A basis for the column space of A is { f. The dimension of the null space of A is 2 and the null space of A is a subspace of R^4 g. Find a basis for the null space of A. Enter your answer as a comma separated list of vectors of the form <a,b,c> or <a,b,c,d> where a,b,... are numbers. A basis for the null space of A is {| rref(A) = -5 2 0