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
Answer:
Synonyms: Shameless, bold, audacious
Antonyms: Timid, shy
Step-by-step explanation:
Answer:
310 / 1000 = 0.31 pounds
Step-by-step explanation:
When dividing by a number that is 1 less 0 than how many digits the number has, we can move the decimal point the number of times zero is repeated at the end of the number.
1000 has 3 zeroes, so we move the decimal point 3 moves to the left.
So, we do this:
After 0 moves: 310
After 1 move: 31.0
After 2 moves: 3.10
After 3 moves = 0.310
0.310 is the same as 0.31
Therefore, 0.31 pounds of flour are in each loaf.
Answer:
7+4
Step-by-step explanation:
hope it helps
