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:
D. 55%
Step-by-step explanation:
The error range ± 9% means that the range is 9% below 62% or 9% above 62%.
The range is:
(62% - 9%) to (62% + 9%)
53% to 71%.
The only answer between 53% and 71% is 55%.
Answers A, B, C are all greater than 71%.
Answer: (3,1)
Explanation:
Answer:
12825$
Step-by-step explanation:
1 yard = 3 ft
we can convert each of the lengths from ft to yards
240 ft = 80 yards
285 ft = 95 yards
450 ft = 150 yards
150+150+95+80 = 475 yards
1 yard of fencing costs 27$ so we are going to multiply that by the total yards
475*27=12825$
Answer:
12 I think?
Step-by-step explanation:
