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:
less than
Step-by-step explanation:
think of it as an aliigator who wants cookies. The alligator is. going to eat the side with more cookies. if he is not facing one side that means that it is lees than
Step-by-step explanation:
the answer is in the above image
Answer:
Step-by-step explanation:
Answer:
38 Tables
Step-by-step explanation:
First, we need to add the number of students with the number of adults to get the total number of people attending the picnic.
182 + 274 = 456
Next, we divide that number by how many people fit at each table to find how many tables we need.
456 people ÷ 12 people at each table = 38 tables.
