Order (B) 5 × 6 of the matrix can be multiplied by matrix a to create matrix ab.
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What is a matrix?</h3>
- A matrix is a rectangular array or table of numbers, symbols, or expressions that are organized in rows and columns to represent a mathematical object or an attribute of such an object in mathematics.
- For instance, consider a matrix with two rows and three columns.
To find the order of matrix:
- We must first check the dimension of two matrices, say matrix A by matrix B, before we may multiply them.
- Multiplication is achievable if the number of columns in the first matrix, A, equals the number of rows in the second matrix.
- Dimension is assigned to the provided matrix: 6 × 5
- This means the given matrix contains six rows and five columns.
- As a result, the second matrix MUST have 5 rows in order for multiplication to be POSSIBLE.
- The only matrix with 5 rows among the above alternatives is the matrix with dimension (B) 5 × 6.
To prove:
- In other words, the inner products of the dimensions should be equal.
- That is; (a × b)(b × a) is possible but (a ×b)(c × b) is impossible.
- The dimensions of the matrix are given by, row × column.
Therefore, order (B) 5 × 6 of the matrix can be multiplied by matrix a to create matrix ab.
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Answer:
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Step-by-step explanation:
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Answer:
y = -(8/5)x + 3
Step-by-step explanation:
Step 1: Rewrite the given equation into slope-intercept form by solving for y
8y−16=5x
8y = 5x + 16
y = (5/8)x + 2
Perpendicular lines have slopes that are opposite reciprocals of each other. That means you take the slope, flip the fraction, and change the sign.
Here our given line is y = (5/8)x + 2 so the slope 5/8
The opposite reciprocal of 5/8 is -8/5
We set up the equation
y = -(8/5)x + b
we are given a point (x, y) of (5, -5), so plug that in and solve for b
-5 = -(8/5)(5) + b
-5 = -8 + b
3 = b
So our equations is y = -(8/5)x + 3
First, we need to find her current age. If she was 12 years old 3 years ago, her current age is 12 + 3 which is 15. If the ratio of Sarah's age to Keisha's age is 4:5 (Sarah's age is the 4 and Keisha's age is the 5).
If we take 15 and divide that by 5 (her ratio), then you get 3. Now multiply 3 by 4 to find Sarah's age. We get 12. Nine years from now, her age is 12 + 9 which is 21.
There is the answer. Sarah's age in 9 years is 21 years old. I hope this helps.