What matrix multiplication is possible ?
1 answer:
Answer:
Firstly, it is important to note that the multiplication of matrices is done in this way:
Columns x Rows or viceversa
Now, two matrices can be multiplied only if their dimensions are compatible, which means that the number of columns in the first matrix must be equal to the number of rows in the second matrix.
In other words:
Two matrices A and B are said to be multiplies if the number of columns in A coincides with the number of rows in B.
In this context, the correct option is:
Where A is:
And B is:
As you can see, the number of columns in A coincides with the number of rows in B
You might be interested in
Your calculator's cubic regression function can tell you the equation is
... f(x) = 2x³ + 5x² -12x = x(x +4)(2x-3)
The x-intercepts are -4, 0, +1.5.
_____
If you want to solve this "by hand", you can first of all recognize that since there is an x-intercept at 0, the cubic will only have three coefficients. That is, you can write the equation as
... f(x) = ax³ + bx² + cx
Substituting the given points (except (0, 0)) gives three linear equations in a, b, c.
... -a +b -c = 15 . . . . . for x=-1
... a + b + c = -5 . . . . for x=1
... 8a +4b +2c = 12 . . for x=2
adding the first two equations gives 2b=10, or b=5. Now, you can reduce the system to
... a + c = -10
... 4a +c = -4
Subtracting the first of these equations from the second gives 3a=6, or a=2. That tells you c=-12 (from a+c=10).
Then your equation is
... f(x) = x(2x² +5x -12)
Factoring by any of the usual techniques, or graphing, or using the quadratic formula will tell you the zeros (x-intercepts) are as above.
_____
Since the input values are sequential, you can also develop the function from differences of the output values. Those are 15, 0, -5, 12. First differences are -15, -5, +17. Second differences are +10, +22. The third difference is 12. Using the first of these differences in appropriate places in the interpolating polynomial formula, we have
... f(x) = 15 + (x+1)(-15 + (x)/2·(10 + (x-1)/3·(12))) = 2x³ +5x² -12x . . . . as above
The value of the probability P(3≤x<7) is 1
<h3>How to evaluate the probability expression?</h3>The expression is given as: P(3≤x<7)
This is calculated using:
P(3 ≤ x < 7) = P(3) + P(4) + P(5) + P(6)
Using the figure of the probability density function (see attachment), we have:
P(3 ≤ x < 7) = 0.30 + 0.30 + 0.20 + 0.20
Evaluate
P(3 ≤ x < 7) = 1
Hence, the value of the expression is 1
Read more about probability density function at:
#SPJ1
Answer:
400 sq. ft.
Step-by-step explanation:
We gotta find the length of a side:
First, we divide 80 by 4, because the perimeter of a square is (4 x side):
80 ft. / 4 = 20 ft.
Second, we doing the normal area of a square equation:
= 400 square ft.
Which leads to out answer of 400 sq. ft.