I don't understand this pls help

Mathematics

1 answer:

Nitella [24]4 years ago

6 0

Answer:

Step-by-step explanation:

Solve. Remember to follow PEMDAS.

PEMDAS is the order of operation, and =

Parenthesis

Exponent (& Roots)

Multiplication

Division

Addition

Subtraction

First, divide 54 with -6:

54/(-6) = -9

Next, combine the terms.

10 + (-9) = 10 - 9 = 1

1 is your answer.

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Answer:

The product of $\begin{pmatrix}3&-5\\ \:1&7\end{pmatrix}\begin{pmatrix}4&2\\ \:-4&2\end{pmatrix}$ is $\begin{pmatrix}32&-4\\ -24&16\end{pmatrix}$ .

Step-by-step explanation:

A matrix is a rectangular arrangement of numbers into rows and columns.

Matrix multiplication refers to the product of two matrices.

The main condition of matrix multiplication is that the number of columns of the 1st matrix must equal to the number of rows of the 2nd one.

To find the product of $\begin{pmatrix}3&-5\\ \:1&7\end{pmatrix}\begin{pmatrix}4&2\\ \:-4&2\end{pmatrix}$

$\mathrm{Multiply\:the\:rows\:of\:the\:first\:matrix\:by\:the\:columns\:of\:the\:second\:matrix}\\\\\begin{pmatrix}3&-5\end{pmatrix}\begin{pmatrix}4\\ -4\end{pmatrix}=3\cdot \:4+\left(-5\right)\left(-4\right)\\\\\begin{pmatrix}3&-5\end{pmatrix}\begin{pmatrix}2\\ 2\end{pmatrix}=3\cdot \:2+\left(-5\right)\cdot \:2\\\\\begin{pmatrix}1&7\end{pmatrix}\begin{pmatrix}4\\ -4\end{pmatrix}=1\cdot \:4+7\left(-4\right)\\\\\begin{pmatrix}1&7\end{pmatrix}\begin{pmatrix}2\\ 2\end{pmatrix}=1\cdot \:2+7\cdot \:2$

$\begin{pmatrix}3&-5\\ 1&7\end{pmatrix}\begin{pmatrix}4&2\\ -4&2\end{pmatrix}=\begin{pmatrix}3\cdot \:4+\left(-5\right)\left(-4\right)&3\cdot \:2+\left(-5\right)\cdot \:2\\ 1\cdot \:4+7\left(-4\right)&1\cdot \:2+7\cdot \:2\end{pmatrix}$

$\mathrm{Simplify\:each\:element}\\\\\begin{pmatrix}3&-5\\ 1&7\end{pmatrix}\begin{pmatrix}4&2\\ -4&2\end{pmatrix}=\begin{pmatrix}32&-4\\ -24&16\end{pmatrix}$