Answer:
hope it helps and u understand
check the steps in picture attached
Answer:
The correct option is (A).
Step-by-step explanation:
If the reduced row echelon form of the coefficient matrix of a linear system of equations in four different variables has a pivot, i.e. 1, in each column, then the reduced row echelon form of the coefficient matrix is say A is an identity matrix, here I₄, since there are 4 variables.
![\left[\begin{array}{cccc}1&0&0&0\\0&1&0&0\\0&0&1&0\\0&0&0&1\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bcccc%7D1%260%260%260%5C%5C0%261%260%260%5C%5C0%260%261%260%5C%5C0%260%260%261%5Cend%7Barray%7D%5Cright%5D)
Then the corresponding augmented matrix [ A|B] , where the matrix is the representation of the linear system is AX = B, must be:
![\left[\begin{array}{ccccc}1&0&0&0&a\\0&1&0&0&b\\0&0&1&0&c\\0&0&0&1&d\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bccccc%7D1%260%260%260%26a%5C%5C0%261%260%260%26b%5C%5C0%260%261%260%26c%5C%5C0%260%260%261%26d%5Cend%7Barray%7D%5Cright%5D)
Now the given linear system is consistent as the right most column of the augmented matrix is a linear combination of the columns of A as the reduced row echelon form of A has a pivot in each column.
Thus, the correct option is (A).
Answer:
n= 37 -8n
the first n is the end result, the second in the equation is the __ number, the nth number
Step-by-step explanation:
Answer:
Answer below
Step-by-step explanation:
A base is the number of digits in a number system. For example in the decimal number system we use the 10 digits ( 0, 1, 2, 3, 4, 5, 6, 7, 8, 9 ). So it has the base 10.
HOPE IT HELPED
Answer:
y = 2x - 1 is the required equation
Step-by-step explanation:
slope(m) = (3-7)/(2-4)
m = -4/(-2)
so, m = 2
Now,
y = mx + b
or, y = 2x + b
so, 3 = 2*2 + b
or, 3 = 4 + b
so, b = -1
equation would be y = 2x - 1