Answer:
a) {[1.25 1.5 1.75 2.5 2.75]
[35 30 25 20 15] }
b) {[1.5 2 40]
[1.75 3 35]
[2.25 2 25]
[2.75 4 15]}
Explanation:
Matrix H: {[1.25 1.5 1.75 2 2.25 2.5 2.75]
[1 2 3 1 2 3 4]
[45 40 35 30 25 20 15]}
Its always important to get the dimensions of your matrix right. "Roman Columns" is the mental heuristic I use since a matrix is defined by its rows first and then its column such that a 2 X 5 matrix has 2 rows and 5 columns.
Next, it helps in the beginning to think of a matrix as a grid, labeling your rows with letters (A, B, C, ...) and your columns with numbers (1, 2, 3, ...).
For question a, we just want to take the elements A1, A2, A3, A6 and A7 from matrix H and make that the first row of matrix G. And then we will take the elements B3, B4, B5, B6 and B7 from matrix H as our second row in matrix G.
For question b, we will be taking columns from matrix H and making them rows in our matrix K. The second column of H looks like this:
{[1.5]
[2]
[40]}
Transposing this column will make our first row of K look like this:
{[1.5 2 40]}
Repeating for columns 3, 5 and 7 will give us the final matrix K as seen above.
The volume of the diluted (i.e the new) solution given the data is 147 mL
<h3>Data obtained from the question </h3>
- Molarity of stock solution (M₁) = 1.85 M
- Volume of stock solution (V₁) = 84 mL
- Molarity of diluted solution (M₂) = 1 M
- Volume of diluted solution (V₂) = ?
<h3>How to determine the volume of diluted solution </h3>
M₁V₁ = M₂V₂
1.75 × 84 = 1 × V₂
V₂ = 147 mL
Thus, the volume of the new solution is 147 mL
Learn more about dilution:
brainly.com/question/15022582
#SPJ4
B.a push or pull(which of the following best describes force)
