M1 Matrix is:
1 answer:
Answer:
(a)First Row, First Column =1
(b)First Row, second Column =0
(c)Second Row, First Column =0
(d)Second Row, second Column =1
Step-by-step explanation:
Given matrix
The Inverse of a 2X2 matrix
can be found using the following:
Therefore:
Next, we find the product
Therefore:
(a)First Row, First Column =1
(b)First Row, second Column =0
(c)Second Row, First Column =0
(d)Second Row, second Column =1
NOTE: The multiplication of a matrix and its inverse always gives the identity matrix as seen above,
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Answer:
When we have a quadratic equation:
a*x^2 + b*x + c = 0
There is something called the determinant, and this is:
D = b^2 - 4*a*c
If D < 0, then the we will have complex solutions.
In our case, we have
5*x^2 - 10*x + c = 0
Then the determinant is:
D = (-10)^2 - 4*5*c = 100 - 4*5*c
And we want this to be smaller than zero, then let's find the value of c such that the determinant is exactly zero:
D = 0 = 100 - 4*5*c
4*5*c = 100
20*c = 100
c = 100/20 = 5
As c is multiplicating the negative term in the equation, if c increases, then we will have that D < 0.
This means that c must be larger than 5 if we want to have complex solutions,
c > 5.
I can not represent this in your number line, but this would be represented with a white dot in the five, that extends infinitely to the right, something like the image below:
