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nexus9112 [7]
3 years ago
15

Help me!!!Which matrix multiplication is possible?

Mathematics
2 answers:
Ad libitum [116K]3 years ago
7 0

Answer:

guy your picture isn't clear

almond37 [142]3 years ago
5 0

Answer:

The answer is \left[\begin{array}{ccc}1\\-1\\\end{array}\right] * \left[\begin{array}{ccc}0&4\\\end{array}\right].

Step-by-step explanation:

The matrix \left[\begin{array}{ccc}0&3\\\end{array}\right] * \left[\begin{array}{ccc}1&-4\\\end{array}\right]  cannot be multiplied because matrices can only be multiplied if the number of columns in the first matrix is equal to the number of rows in the second matrix.

The matrix \left[\begin{array}{ccc}3\\-2\\\end{array}\right] * \left[\begin{array}{ccc}-1&0\\0&3\\\end{array}\right]  cannot be multiplied because the number of columns in the first matrix is unequal to the number of rows in the second matrix.

The matrix \left[\begin{array}{ccc}1&0\\1&1\\\end{array}\right] * \left[\begin{array}{ccc}3&0\\\end{array}\right]  cannot be multiplied because matrices can only be multiplied if the number of columns in the first matrix is equal to the number of rows in the second matrix.

The matrix \left[\begin{array}{ccc}1\\-1\\\end{array}\right] * \left[\begin{array}{ccc}0&4\\\end{array}\right]  can be multiplied because the number of columns in the first matrix is equal to the number of rows in the second matrix.  The answer to this matrix is \left[\begin{array}{ccc}0&4\\0&-4\\\end{array}\right]. Thus, causing this matrix to be the correct answer to the question.

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Part A:
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Explanation:
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Answer:

<u><em>f(x) * g(x) is </em></u><u><em>8x^2 + 8x -6</em></u>

<u><em>f(x) - g(x) is </em></u><u><em>-2x + 5</em></u>

Step-by-step explanation:

<u><em>When finding the answer, we can notice they already give the values for the needed answers.</em></u>

<u><em>The first one requires f(x) and g(x). At the beginning of the question it shows that </em></u><u><em>f(x) is equal to 2x+3. Meaning we can plug in 2x+3 for f(x).</em></u>

<u><em>The same goes for g(x). At the begginning of the question, it shows that </em></u><u><em>g(x) is equal to 4x-2. Meaning we can plug in 4x-2 for g(x).</em></u>

<u><em>f(x) * g(x)</em></u>

<u><em>(2x+3) * (4x-2)</em></u>

<u><em>To find the answer, we need to </em></u><u><em>distibute the 2x+3 into 4x-2</em></u><u><em>.</em></u>

<u><em>To distribute, we do </em></u><u><em>:</em></u>

<u><em>2x * (4x-2)   +   3 * (4x-2)</em></u>

<u><em>First we distribute the 2x</em></u>

<u><em>2x * 4x  =  8x^2        and        2x * -2  =  -4x</em></u>

<u><em>8x^2 - 4x</em></u>

<u><em>Next we distibute the 3</em></u>

<u><em>3 * 4x  =  12x        and        3 * -2 = -6</em></u>

<u><em>12x - 6</em></u>

<u><em>Now we can combine them by</em></u><u><em> adding like terms </em></u><u><em>to get the asnwer:</em></u>

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<u><em>-6 = -6</em></u>

<u><em>The first answer is </em></u><u><em>8x^2 + 8x -6</em></u>

<u><em>Second question:</em></u>

<u><em>Since we already know the values for f(x) and g(x), all we have to do is </em></u><u><em>plug in the values</em></u><u><em>.</em></u>

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<u><em>2x - 4x = -2x</em></u>

<u><em>3 - (-2) = 5</em></u>

<u><em>The second answer is </em></u><u><em>-2x + 5</em></u>

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