Answer:
Remember, a homogeneous system always is consistent. Then we can reason with the rank of the matrix.
If the system Ax=0 has only the trivial solution that's mean that the echelon form of A hasn't free variables, therefore each column of the matrix has a pivot.
Since each column has a pivot then we can form the reduced echelon form of the A, and leave each pivot as 1 and the others components of the column will be zero. This means that the reduced echelon form of A is the identity matrix and so on A is row equivalent to identity matrix.
Answer:
Option D. 3:1, $120
Step-by-step explanation:
The complete question in the attached figure
Part 1) What is the ratio between the amount of money contributed by Anna and the amount contributed by her mother?
Let
x -----> the amount of money contributed by Anna
y ----> the amount of money contributed by her mother
we know that
Looking at the table
The value of x is equal to
The value of y is equal to
Find the ratio x/y
substitute the values
Part 2) What was the total amount saved in April?
we know that
To find out the total amount saved in April, adds Mon's contribution in April plus Anna's contribution in April
so
B. is the answer if you look closely
Number of candles =(total volumes used by the company)/(volume of one candle)
volume of one candle =5cm*2cm*12cm=120cm^3
hence number of candles =5040/120
, ,=42candles