Your answer is no solutions.
Multiply the first equation by - 2.
- 2(3x - 2y = 6)
- 6x + 4y = -12
Combine the like terms of this equivalent equation and the original second equation.
- 6x + 4y = -12
6x - 4y = 14
Everything on the left side of the equal sign cancels out leaving you with:
0 ≠ 2
Because this statement is not true, it means there are no solutions to this system of equations.
Consider a homogeneous machine of four linear equations in five unknowns are all multiples of 1 non-0 solution. Objective is to give an explanation for the gadget have an answer for each viable preference of constants on the proper facets of the equations.
Yes, it's miles true.
Consider the machine as Ax = 0. in which A is 4x5 matrix.
From given dim Nul A=1. Since, the rank theorem states that
The dimensions of the column space and the row space of a mxn matrix A are equal. This not unusual size, the rank of matrix A, additionally equals the number of pivot positions in A and satisfies the equation
rank A+ dim NulA = n
dim NulA =n- rank A
Rank A = 5 - dim Nul A
Rank A = 4
Thus, the measurement of dim Col A = rank A = five
And since Col A is a subspace of R^4, Col A = R^4.
So, every vector b in R^4 also in Col A, and Ax = b, has an answer for all b. Hence, the structures have an answer for every viable preference of constants on the right aspects of the equations.
Answer:
2.75
Step-by-step explanation:
first convert it to a improper fraction
2 3/4 = 11/4
then dividing the numerator by the denominator.
11/4 = 2.75
hope this helped!
Answer:
D
Step-by-step explanation:
A picture of graph of g(x) = (1/5x)^2 .
