1. Label the following statements as true or false correctly with a brief explanation all of the subparts as they are connected. (d ) In any vector space, ax = ay implies that x = y. (e) A vector in Fn may be regarded as a matrix in Mnx 1 (F ).
1. Label the following statements as true or false correctly with a brief explanation all of the subparts as they are connected.
(d ) In any
(e) A vector in Fn may be regarded as a matrix in Mnx 1 (F ).
(f) An m x n matrix has m columns and n rows.
(g) In P(F), only polynomials of the same degree may be added.
{h ) Iff and 9 are polynomials of degree n, then f + 9 is a polynomial
of degree n.
(i) Iff is a polynomial of degree n and cis a nonzero scalar, then cf
is a polynomial of degree n.
(j) A nonzero scalar ofF may be considered to be a polynomial in
P(F) having degree zero.
(k ) Two functions in F (S, F) are equal if and only if they have the
same value at each element of S.
Step by step
Solved in 3 steps with 5 images
