Answer:
See Below
Step-by-step explanation:
A non-homogeneous equation of the form Ax=b always has a solution IF:
The column space of Matrix A has equal "dimensions" and "column length".
Now,
Given, 12 equations and 13 unknown, so Matrix A can be:
Matrix A = 12 x 13
Hence, the column length = 12
Each column here is a vector in space (vector space).
Now, we essentially need to figure out if the columns span the vector space of .
The rank theorem is:
n is 13 so,
Hence,
Rank A = 12
Hence the dimension is 12 and columns span this.
Thus,
Thus the system always has a solution.
Answer:
Write an algorithm to add two numbers entered by user. Step 2: Declare variables num1, num2 and sum. Step 3: Read values num1 and num2. Step 4: Add num1 and num2 and assign the result to sum.
Answer:m= 7.
Step-by-step explanation: first you do 8-1. 8-1 gives you 7. Therefore m=7
Answer:
the answer is (7,6) have a nice day
Step-by-step explanation:
Answer:
y+3=1/2(x-4)
Step-by-step explanation:
any line parallel to another line has the exact same slope. So you already know your slope, but to do this, we need point slope form. y-y_1=m(x-x_1). we can plug in the slope as well as well as the point that we know. y+3=1/2(x-4). Remeber, math is all about being simple. since the question didn't specify a certain form of the equation, you can just keep this as your answer! Hope this helped!