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:
5 cm
Step-by-step explanation:
Let's assume this is a number line were given.
Distance of S from 0 = 4 units
Distance of T from 0 = 9 units
Length of ST = the difference between T and S
ST = |9 - 4| = 5 units = 5 cm
This means S and T are 5 cm apart.
Answer:
n = -21/4 <em>or </em>-5.25
Step-by-step explanation:
The months till the account stability is terrible is 1.3 months.
<h3>What is account stability?</h3>
- In banking, the account stability is the amount of coins you have were given available on your checking or economic financial savings account.
- Your account stability is the net amount available to you anyways deposits and credit score had been balanced with any costs or debits.
- Your economic organization account balance suggests you methods a brilliant deal coins you have were given on your account.
- That coins is there for you withdraw or depart in place, likely with a view to collect interest payments on it.
- The answer isn't always truely yes, though, because of the truth your balance might not be exactly what it seems.
- The available balance can be taken out of the account in cash at an ATM or with a economic organization teller.
- The debit card transfers coins from the coins inside facet the checking account.
To learn more about account stability from the given link:
brainly.com/question/13387881
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Answer: You can watch 14 vines.
Step-by-step explanation: 1 2/5 is equal to 1 4/10
1 4/10 is equal to 14/10
So the amount of vines you could watch is 14 in 1 minute and 24 seconds.