Prove the following properties of matrix addition and scalar multiplication, where A, B, and C are all m × n matrices and r and s are scalars: 9. a. A+ (B+ C) = (A + B) + C b. (r+ s)A = rA + sA
Inverse Normal Distribution
The method used for finding the corresponding z-critical value in a normal distribution using the known probability is said to be an inverse normal distribution. The inverse normal distribution is a continuous probability distribution with a family of two parameters.
Mean, Median, Mode
It is a descriptive summary of a data set. It can be defined by using some of the measures. The central tendencies do not provide information regarding individual data from the dataset. However, they give a summary of the data set. The central tendency or measure of central tendency is a central or typical value for a probability distribution.
Z-Scores
A z-score is a unit of measurement used in statistics to describe the position of a raw score in terms of its distance from the mean, measured with reference to standard deviation from the mean. Z-scores are useful in statistics because they allow comparison between two scores that belong to different normal distributions.
3.4 #9
Please answer a and b
![9.
Prove the following properties of matrix addition and scalar multiplication, where A, B,
and C are all m x n matrices and r and s are scalars:
a. A+ (B + C) = (A+B) + C
b. (r+s)A = rA + sA](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fcecab317-fab7-42bc-8c65-e82787a88e59%2F29b07645-68b7-4e53-8237-b1fcd17823df%2Feo3vc3m_processed.png&w=3840&q=75)
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