Summary: Econometrics: Methods And Applications
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Read the summary and the most important questions on Econometrics: Methods and Applications
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8 week 8: Building Blocks
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8.1.1 Lecture M.1: Introduction to Vectors and Matrices
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How is a Matrix defined?
Essentially, a matrix is an array of elements. Thos elements can be numbers or expressions or anything else. And its a convenient way to store a lot of information. -
What is the difference between a matrix and a vector?
A vector is a type of matrix but where matrices have multiple rows/columns, a vector only has one. -
What is a scalar multiple?
When you perform scalar multiplication (multiplying a matrix or each element in a matrix by a number), you are essentially creating a whole new matrix. That new matrix is what is referred to as a scalar multiple. -
In summing matrices, does the order of the summation matter?
No, it does not. -
Explain how to combine multiple additions and multiplications
Abc -
How do we multiply vectors and matrices and what is important to pay attention to?
Abc -
What is the 'dot product' also known as the 'inner product'?
Abc -
What does it mean for a vector matrix to be orthogonal?
Abc -
What are the special matrices mentioned in this lecture?
1) Square matrix
2) Diagonal matrix
3) Identity matrix
4) Unit vector -
Explain what a square matrix is
A matrix with equal numbers of rows and columns (ex. 2x2, 3x3)
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