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:
x2 + y2 = r2, and this is the equation of a circle of radius r whose center is the origin O(0, 0). The equation of a circle of radius r and center the origin is x2 + y2 = r2.
I think this is the answer.
Tavius would earn his best value if he invests in a three-year certificate of deposit with a nominal interest rate of 4 percent.
Tavius would invest in the option that yields the highest interest. This is the best value. In order to determine which option is the best, the interest rate of each option has to be determined.
<em><u>Interest rate of the first option</u></em>
Interest earned = amount invested x time x interest rate
$2500 x 0.03 x 2 = $150
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<em><u>Interest rate of the second option</u></em>
Interest earned = amount invested x time x interest rate
$2500 x 0.03 x 1 = $75
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<em><u>Interest rate of the third option</u></em>
Interest earned = amount invested x time x interest rate
$2500 x 0.04 x 3 = $300
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<em><u>Interest rate of the fourth option</u></em>
FV = P x (1 + r) n
$2500 x (1.03) = $75
A similar question was answered here: brainly.com/question/24748787?referrer=searchResults
The correct answer is 41/25
