Unitary Method
The word “unitary” comes from the word “unit”, which means a single and complete entity. In this method, we find the value of a unit product from the given number of products, and then we solve for the other number of products.
Speed, Time, and Distance
Imagine you and 3 of your friends are planning to go to the playground at 6 in the evening. Your house is one mile away from the playground and one of your friends named Jim must start at 5 pm to reach the playground by walk. The other two friends are 3 miles away.
Profit and Loss
The amount earned or lost on the sale of one or more items is referred to as the profit or loss on that item.
Units and Measurements
Measurements and comparisons are the foundation of science and engineering. We, therefore, need rules that tell us how things are measured and compared. For these measurements and comparisons, we perform certain experiments, and we will need the experiments to set up the devices.
Can you help me figure this problem out?
![### Matrix Multiplication Problem
**Question:**
What is the result of the matrix multiplication below?
\[
\begin{pmatrix}
2 & 0 \\
-3 & 1
\end{pmatrix}
\cdot
\begin{pmatrix}
-1 \\
2
\end{pmatrix}
\]
**Explanation:**
The problem involves the multiplication of two matrices. The first matrix is a 2x2 matrix, and the second is a 2x1 column matrix.
The procedure for matrix multiplication is as follows:
1. Multiply the elements of the rows of the first matrix by the corresponding elements of the columns of the second matrix.
2. Sum the products obtained in step 1 to get the elements of the resulting matrix.
### Calculating the Elements:
**Element (1,1):**
\[
(2 \times -1) + (0 \times 2) = -2 + 0 = -2
\]
**Element (2,1):**
\[
(-3 \times -1) + (1 \times 2) = 3 + 2 = 5
\]
So the resulting 2x1 matrix is:
\[
\begin{pmatrix}
-2 \\
5
\end{pmatrix}
\]
This is the result of the matrix multiplication.
---
**Visual Representation:**
To the left of the matrices, there is a diagram of a 2x1 result matrix consisting of two blank squares, representing the elements of the resultant matrix before calculation. This visual helps in understanding how the elements are positioned in the resultant matrix.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fa19b2cf3-e4ba-4c54-87ea-4b78f08e1dba%2Fa391987a-1324-458b-a268-c91978a681e3%2F4iuntl_processed.png&w=3840&q=75)
Step by step
Solved in 2 steps with 1 images
