Linear 1 - Lesson 11 - Det, operations
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A&B are n*n matrices. What is Det(B) if:
B is obtained by adding a multiple of a col of A to another one
B is obtained by interchanging 2 columns of A
B is obtained by multiplying one col with non-zero scalar k
det(B) = det(A)
det(B) = -det(A)
det(B) = k * det(A)
A&B are n*n matrices. What is Det(B) if:
B is obtained by adding a multiple of a row of A to another one
B is obtained by interchanging 2 rows of A
B is obtained by multiplying one row with non-zero scalar k
det(B) = det(A)
det(B) = -det(A)
det(B) = k * det(A)
What can be said about invertibility and the determinant of a nxn matrix A?
What can be said about linear transformation of an area with T from R2 to R2?
What can be said about linear transformation of a volume with T from R3 to R3?
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