Answer: 8
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.
Answer:
160°
Step-by-step explanation:
-Given the angle in radians as 
-We know that 
-Let our angle theta be X
#We therefore equate and cross multiply:
Hence, angle θ is 160°
Answer:
A. 
Step-by-step explanation:
The options are:
For this exercise it is important to remember that, by definition, the Exponential parent functions have the form shown below:
Where "a" is the base.
There are several transformations for a function f(x), some of those transformations are shown below:
1. If 
and 
, then the function is stretched vertically by a factor of "b".
2. If and 
, then the function is compressed vertically by a factor of "b"
Therefore, based on the information given above, you can identify that the function that represents a vertical stretch of an Exponential function, is the one given in the Option A. This is:
Where the factor is:
And 
Answer:
OMG I see that BTS sticker on your laptop--
Step-by-step explanation:
