Question

MCO Which of these sets is linearly independent? (A) The set $S = \{v_1, v_2, ..., v_r\}$ be a set of vectors in $R^n$ if $r > n$. (B) The set that contains two vector such that one is given by the multiplication scalar of the other. (C) The set that contains only the zero vector. (D) The standard unit vectors $\{e_1 = (1, 0, 0), e_2 = (0, 1, 0), e_3 = (0, 0, 1)\}$ in the vector space $R^3$. Question: $B_1$ $B_2$ $B_3$ Show that the set $B = \{2 + 5x, 2 + x^2, 1 + x + 4x^2\}$ form a basis for $P_2(x)$.

          MCO
Which of these sets is linearly independent?
(A) The set $S = \{v_1, v_2, ..., v_r\}$ be a set of vectors in $R^n$ if $r > n$.
(B) The set that contains two vector such that one is given by the multiplication
scalar of the other.
(C) The set that contains only the zero vector.
(D) The standard unit vectors $\{e_1 = (1, 0, 0), e_2 = (0, 1, 0), e_3 = (0, 0, 1)\}$ in the
vector space $R^3$.
Question:
$B_1$
$B_2$
$B_3$
Show that the set $B = \{2 + 5x, 2 + x^2, 1 + x + 4x^2\}$ form a basis for
$P_2(x)$.

$MCO Which of these sets is linearly independent? (A) The set S = {v1, v2, ..., vr} be a set of vectors in R^n if r > n. (B) The set that contains two vector such that one is given by the multiplication scalar of the other. (C) The set that contains only the zero vector. (D) The standard unit vectors {e1 = (1, 0, 0), e2 = (0, 1, 0), e3 = (0, 0, 1)} in the vector space R^3. Question: B1 B2 B3 Show that the set B = {2 + 5x, 2 + x^2, 1 + x + 4x^2} form a basis for P2(x).$

Added by Benjamin W.

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