The answers are boxed the rest of it is just the work in case you want to know how to do it.
Answer:
Check the ecplanation
Step-by-step explanation:
A set of three vectors in
represents a matrix of 3 column vectors, and each vector containing 4 entries (that is, a matrix of 4 rows, and 3 columns).
Let A be that 4x 3 matrix. The columns of A span
. if and only if A has a pivot position in each row. So, there are at most 3 pivot positions in the matrix A, but the number of rows is 4, therefore, there exist at least one row not having a pivot position. If A does not have a pivot position in at least one row, then the columns of A do not span
. It implies that the set of 3 vectors of A does not span all of
.
In general, the set of n vectors in
represents a matrix of in rows, and n columns (an in x matrix). So, there are at most n pivot positions in the matrix A, but n is less than the number of rows. In therefore, there exist at least one row that does not contain a pivot position.
And, hence the set of n vectors of A does not span all of
. for n < m
8 in 2.408 is closer to 10, so you round 2.408 to 2.41
Answer:
23,760.
Step-by-step explanation:
Multiply the monthly salary x 12 since there are 12 months
Step-by-step explanation:
a) $350 per week
20% commission on sales
For $925 in sales, commission is
20/100 × 925 = $185
Total earning = $350 + $185 = $535
b) For $x in sales, commission is
20/100 × x = 1/5 × x = x/5 or 0.2x
Total earnings = $350 + $ x/5 or $350 + $0.2x