Answer:
Step-by-step explanation:
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.
7.2352297363 rounded to the nearest millionth would be 7.235230 and all I did to get the answer was count from left to right and keep the first six numbers, and round 229 up one spot and make it 230, to get the answer.
Answer:
4
Step-by-step explanation:
Since the base is the same, 3, you can just get rid of it using the principles of log. What you're left with is:
2x + 1 = x + 5
Now just solve for x:
2x - x = 5 - 1
x = 4
The number of permutations of the 26 letters of the English alphabet that do not contain any of the strings fish, rat, or bird is 402619359782336797900800000
Let
Then
Note that since
, 
But since
, 
and
, 
Since
where 
and
What we are looking for is the number of permutations of the 26 letters of the alphabet that do not contain the strings fish, rat or bird, or
This link contains another solved problem on permutations:
brainly.com/question/7951365
