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Is eigenvalue applicable only to n x n matrices?
The answer is yes, and here's why: Remember that for the eigenvalues (k) and eigenvectors (v) of a matrix (M) the following holds: M.v = k*v, where "." denotes matrix multiplication. This operation is only defined if the number of columns in the first matrix is equal to the number of rows in the second, and the resulting matrix/vector will have as many rows as the first matrix, and as many columns as the second matrix. For example, if you have a 3 x 2 matrix and multiply with a 2 x 4 matrix, the result will be a 3 x 4 matrix. Applying this to the eigenvalue problem, where the second matrix is a vector, we see that if the matrix M is m x n and the vector is n x 1, the result will be an m x 1 vector. Clearly, this can never be a scalar multiple of the original vector.
What word is used for the answer to a division problem?
The answer to a division problem is called a quotient or divide. The answer to a division problem is called a quotient or divide.
Is the sum in problem?
The sum is the answer in an addition problem.
What is a hypothetical problem?
A hypothetical problem is a problem that has not yet actually happened. Usually hypothetical problems are discussed in order to prepare for the problem, should it occur.
What do you call the answer to subtraction problem?
The answer in a subtraction problem is difference.
