What is 4(2×-7)+3(3×-1)=3(2-×)
2 answers:
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Answer:
a)
Reduced Row Echelon:
Solution to the system:
b)
Reduced Row Echelon:
Solution to the system:
x_2 is a free variable, meaning that it has infinite possibilities and therefore the system has infinite number of solutions.
Step-by-step explanation:
To find the reduced row echelon form of the matrices, let's use the Gaussian-Jordan elimination process, which consists of taking the matrix and performing a series of row operations. For notation, R_i will be the transformed column, and r_i the unchanged one.
a)
Step by step operations:
1. Reorder the rows, interchange Row 1 with Row 2, then apply the next operations on the new rows:
Resulting matrix:
2. Set the first row to 1
Resulting matrix:
3. Write the system of equations:
Now you have the reduced row echelon matrix and can solve the equations, bottom to top, x_1 is column 1, x_2 column 2 and x_3 column 3:
b)
1.
Resulting matrix:
2. Write the system of equations:
Now you have the reduced row echelon matrix and can solve the equations, bottom to top, x_1 is column 1, x_2 column 2 and x_3 column 3:
x_2 is a free variable, meaning that it has infinite possibilities and therefore the system has infinite number of solutions.
Answer:
not equivalent
equivalent
not equivalent
Step-by-step explanation:
25 is by itself already 5²
therefore
when we divide one time by 5, we simply take away 1 from the power making it
the other options are wrong
would be right, if we have
but we don't.
and
would even square
and then divide by 25. no, the original excision is nothing like that.