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:
25%
Step-by-step explanation:
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Answer:14 hrs and 25 mins
Step-by-step explanation:
Answer:
Step-by-step explanation:
Check attachment for answers.
Answer:
Victor should buy Legend because it has a better unit rate
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Step-by-step explanation:
See attachment for complete question.
To determine which car has more gas efficiency, we have to calculate the slope of each car.
Vehicle 1: Legend
Take any two corresponding points from the table


The slope is then calculated using;




<em>This implies that this vehicle (legend) travels 18 miles per gallon of gas</em>
Vehicle 2: Supreme
Take any two corresponding points from the graph


The slope is then calculated using;




This implies that this vehicle (supreme) travels 16.7 miles per gallon of gas
<em>Base on the calculations above, Victor should buy Legend because it has a better unit rate</em>