Plzzzz help will give brainliest needs to be done my 11:30 plzz will fail in not answered by that time
1 answer:
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Answer:
A) A is an invertible matrix ( TRUE )
B) A is a row equivalent to the n x n identity matrix ( n = 3 ) ( TRUE )
C ) The equation Ax = 0 has only the trivial solution ( TRUE )
D ) The columns of A form a linearly independent set ( TRUE )
Step-by-step explanation:
Assuming a matrix A
det A = 1 [ 0 -3 ] + 2 [12 + 5 ] + 1[-1]
= -3 + 34 -1 = 30 ≠ 0
THEREFORE det A = 30 ≠ 0
Attached is the detailed solution of the given statements above
Answer:
Option A is correct
Step-by-step explanation:
Direct variation says that:
then;
the equation is in the form of
, where k is the constant of variation
As per the statement:
The number of milligrams of a certain medicine a veterinarian gives to a dog varies directly with the weight of the dog.
Here, w represents the weight and d represents the dosage
then ,by definition of direct variation we have;
.....[1]
It is also given that if the veterinarian gives a 30-pound dog 3/5 milligram of the medicine
⇒w = 30 pound and d = 3/5 milligram
Substitute in [1] we have;
Multiply both sides by 5 we have;
Divide both sides by 150 we have;
Simplify:
⇒
therefore, equation relates the weight, w, and the dosage, d is: