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.
Then the corresponding augmented matrix [ A|B] , where the matrix is the representation of the linear system is AX = B, must be:
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:
x=2 or x=1 where x is integer.
Step-by-step explanation:
even numbers are the multiple of 2 or which are perfectly divided by 2 i.e. 2,4,6 etc.
Let 'x' be the first even number and 'x+2' be the second even number.
now translate the given sentence into mathematical order we write as.
x*(x+2)=5x-2
now simplify for x we get the integer.
x*x+2x=5x-2
=5x-2x-2
=3x-2
-3x+2=0
since above eqn is quadratic i.e. having greater power is 2, so using quadratic formula or middle term braking or completing square we get the value of x or integer.
using middle term braking we get the values of integers.
-2x-1x+2=0
x(x-2)-1(x-2)=0
(x-2)(x-1)=0
x-2=0 and x-1=0
x=2 or x=1
verification
2*4=10-2
8=8
to can find out the opposite side as you have adjacent and hypotenuse.
The formula for Cosine is adjacent/hypotenuse
Step-by-step explanation: