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svetlana [45]
3 years ago
12

If Matrix A has dimensions 1x4 and Matrix B has dimensions 3x4, can these be multiplied?

Mathematics
2 answers:
Inga [223]3 years ago
6 0
\bf A=
\begin{bmatrix}
\square &\square &\square &\square 
\end{bmatrix}\qquad \qquad 
B=
\begin{bmatrix}
\square &\square &\square &\square \\
\square &\square &\square &\square \\
\square &\square &\square &\square \\
\end{bmatrix}

notice above, the matrix A has 1 row 4 columns, a 1x4,
and the B matrix has 3 rows and 4 columns, 3x4.

since B has only 3 rows, not 4, no dice.
Kipish [7]3 years ago
3 0
Answer: No. You cannot multiply the matrices in any order. A*B is not defined. Also, B*A is not defined.

------------------------------------------------------------------------

Explanation: 

Matrix A has 1 row, and 4 columns. 
Matrix B has 3 rows, and 4 columns

In order for A*B to be possible, A has to have the same number as columns as B has rows. In other words, the inner dimensions have to match up. The '4' in '1x4' needs to match up with the '3' in the '3x4'. This match doesn't happen. 

The same story happens with B*A, just things have been flipped. 

B has 3 rows, 4 columns
A has 1 row, 4 columns

The "4 columns" of B does not match with "1 row" of A. 
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Leya [2.2K]

Answer:

a. 19

b. 14

Step-by-step explanation:

From the venn diagram, we see that:

9 children like only Vanilla

7 like vanilla and chocolate

12 like only chocolate, and

2 like neither chocolate nor vanilla

Thus:

a. Number of children that liked Chocolate ice-cream = those that like chocolate only + those that like both chocolate and vanilla = 12 + 7 = 19

19 children like chocolate ice-cream.

b. Number of children who do not like Vanilla ice-cream = those that like chocolate only + those that do not like neither chocolate nor vanilla = 12 + 2 = 14

14 children do not like vanilla ice-cream.

5 0
3 years ago
A number, x, rounded to 1 decimal place is 3.7<br> Write down the error interval for x.
soldier1979 [14.2K]

Answer: (3.65, 3.74)

Step-by-step explanation:

Now, when we round a number to a given decimal place, we need to look at the decimal to the left of the decimal place where we are rounding.

if it is 5 or more, we round up

if it is smaller than 5, we round down.

Then for example, if we want to round:

4.534

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we can see that it is a 2.

Then we round down, and get:

4.5

Now we know that, when rounding to the first decimal place, we have:

x = 3.7

Then the maximum value that x could have is:

x = 3.74 (because here we round down to 3.7)

and the minimum value that x could have is:

x = 3.65 (because here we round up to 3.7)

Then the error interval for x is:

(3.65, 3.74)

6 0
3 years ago
How many sides do 4 hexagons, 1 octagon, and 5 dodecagons have in all?
Vladimir79 [104]
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3 years ago
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