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ddd [48]
3 years ago
10

What matrix multiplication is possible ?

Mathematics
1 answer:
gizmo_the_mogwai [7]3 years ago
8 0

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:

\left[\begin{array}{c}1&-1\end{array}\right] \left[\begin{array}{cc}0&4\end{array}\right]

Where A is:

\left[\begin{array}{c}1&-1\end{array}\right]

And B is:

\left[\begin{array}{cc}0&4\end{array}\right]

As you can see, the number of columns in A coincides with the number of rows in B

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wel
This is a simple problem based on combinatorics which can be easily tackled by using inclusion-exclusion principle.
We are asked to find number of positive integers less than 1,000,000 that are not divisible by 6 or 4.
let n be the number of positive integers.
∴ 1≤n≤999,999
Let c₁ be the set of numbers divisible by 6 and c₂ be the set of numbers divisible by 4.
Let N(c₁) be the number of elements in set c₁ and N(c₂) be the number of elements in set c₂.

∴N(c₁) = \frac{999,999}{6} = 166666
N(c₂) = \frac{999,999}{4} = 250000
∴N(c₁c₂) = \frac{999,999}{24} = 41667
∴ Number of positive integers that are not divisible by 4 or 6,

N(c₁`c₂`) = 999,999 - (166666+250000) + 41667 = 625000
Therefore, 625000 integers are not divisible by 6 or 4
8 0
3 years ago
sam is 27 years old. his age is 6 years greater than 3 times Brandon's age. which method can be used to determine Brandon's age?
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Answer:

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A map has a scale of 5 in. = 15 mi. If you measured the distance between two cities to be 26 in. On the map, how many miles woul
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Answer:

Actual distance between the two cities given on the map = 78.0 miles

Step-by-step explanation:

Scale used for the actual distance between two cities on a map is,

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1 mi. = \frac{1}{3} in.

1 inch = 3 miles

Therefore, 26 inches on the map = 26 × 3

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Therefore, actual distance between the two cities given on the map = 78.0 miles

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2(1/4x + 4) = 3(x -2) PLZ HELP
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Distribute 2 and remove parentheses :
1/2x+8=3x-6
Multiply both sides of equation by 2:
x+16=6x-12
Move terms:
x+16-6x=-12
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Collect like terms:
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Divide both sides:
x=28/5
8 0
3 years ago
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