Answer:
1) a. False, adding a multiple of one column to another does not change the value of the determinant.
2) d. True, column-equivalent matrices are matrices that can be obtained from each other by performing elementary column operations on the other.
Step-by-step explanation:
1) If the multiple of one column of a matrix A is added to another to form matrix B then we get: |A| = |B|. Here, the value of the determinant does not change. The correct option is A
a. False, adding a multiple of one column to another does not change the value of the determinant.
2) Two matrices can be column-equivalent when one matrix is changed to the other using a sequence of elementary column operations. Correc option is d.
d. True, column-equivalent matrices are matrices that can be obtained from each other by performing elementary column operations on the other.
Answer:
5.89 g/cm³
Step-by-step explanation:
givens,
Mass = 22.4 g
volume = 3.8 cm³
Density = mass / volume
= 22.4 / 3.8
= 5.89 g/cm³
Answer:
29 minutes
Step-by-step explanation:
Given



Required
Determine the number of minutes (t) that he was on the trampoline.
This can be expressed as:

Where t represents the number of minutes
Substitute values for Total, Entrance Fee and Amount per minute


Solving further to get the value of t, we have:




We have to calculate speed for 1 lap for all of 'em.
Cutwright - 84/35 = 2.4 mins for 1 lap
Evans- 96.6/42 = 2.3 mins for 1 lap
Liza- 102.6/38 = 2.7 mins for 1 lap
So, EVANS drove fastest among them as he took less time...
As given,
Loan amount is = $45000
Rate of interest = 8.5%
So, Tony's mortgage will attract an interest of:
= $3825 (this is yearly)
And for 1st month it will be =
= $318.75
As given, the first month's payment is $390.60 and this covers the interest Additional amount ($390.60 - $318.75 = $71.85) is a payment against the principle.
Hence, the new principle after the 1st month is $71.85 less than $45000
= 45000-71.85 = $44928.15
Hence, the last option $44928.15 is the correct answer.