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The Matrix

Created by looney_tunes

Fun Trivia : Quizzes : Algebra
The Matrix game quiz
"As part of the 'Not Quite the Movies Challenge', here is an introduction to matrices."

15 Points Per Correct Answer - No time limit  



1. A matrix is defined as a rectangular array of numbers or other elements. This means its shape (called its dimension) can be described by stating the number of rows and columns in which the elements are arranged. A matrix A is said to have dimension mxn. Which of the following statements about matrix A is true?
    A has m rows and n columns
    A has n rows and n columns
    A has n rows and m columns
    A has m rows and m columns


2. If a matrix A has dimension mxm, what kind of matrix is it?
    square matrix
    elliptical matrix
    oblong matrix
    triangular matrix


3. A vector is a matrix for which there is only a single row or a single column. M is a 4x1 matrix, while N is a 1x4 matrix. Which of them could be described as a vector?
    neither N nor M is a vector
    only M is a vector
    both M and N are vectors
    only N is a vector


4. To add matrices, you simply add the corresponding elements. Which of the following is a pair of matrices that can be added?
    A = [1 3]; B = [4 -2]
    A = [1 3]; B = 4 -2 0]
    A = [1 2 3]; B = [4 -2]
    A = [1]; B = 4 0


5. How can you recognise an Additive Identity Matrix?
    all elements add up to 1
    all elements are 1
    all elements are 0
    all elements add up to 0


6. Multiplication involving matrices is a bit more complicated than it is with numbers. The cross product of two vectors, A x B, can only be calculated under what condition?
    both matrices A and B have the same dimensions
    the number of columns in A equals the number of rows in B
    the number of rows in A equals the number of columns in B
    both matrices A and B are vectors


7. Which familiar property of number calculations does NOT apply to matrix calculations, with a few exceptions? Assume that all operations indicated are in fact possible.
    additive commutativity, A + B = B + A
    additive associativity, A + (B + C) = (A + B) + C
    multiplicative associativity, A x (B x C) = (A x B) x C
    multiplicative commutavity, A x B = B x A


8. What is meant by the multiplicative inverse, A^-1, of a matrix A?
    each elements of A^-1 is equal to the reciprocal of the corresponding element of A
    A + A^-1 gives a zero matrix
    A x A^-1 gives a unit matrix
    each element of A^-1 are equal to the corresponding element of A multiplied by -1


9. Sometimes two vectors can be multiplied in such a way that the answer is a scalar (ordinary number), not a matrix. What is the name given to the result of this procedure?
    normal product
    scalar product
    regular product
    ordinary product


10. How is the operation of matrix division (A divided by B) performed?
    It isn't defined as a matrix operation
    Subtract each element of B from the corresponding element of A
    Divide each element of A by the corresponding element of B
    Multiply each element of A by the reciprocal of the corresponding element of B


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Compiled Jun 28 12