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6. (5 pts) Row Operations to Evaluate a Determinant Hint: In this exercise you have to use the following property: if a matrix V is obtained from a matrix U by multiplying 1 row or 1 column of U by a scalar k, then det(V) = k det(U). Let M be the matrix [5 4 -2 3; 5 7 -1 8; 5 7 6 10; 5 7 1 9] Complete the following: a) The determinant of M can be expressed as 5det A, where A is the 33 matrix defined as [3 1 5; 3 .... ....; 3 .... ....] (Matrix A to be completed). b) The determinant of A can be expressed as 3det B ,where B is the 22 matrix defined as [7 2; 2 ....] (Matrix B to be completed) c) The determinant of B is ......... d) Thus the determinant of M is ............

          6. (5 pts) Row Operations to Evaluate a Determinant

Hint: In this exercise you have to use the following property: if a matrix V is obtained from a matrix U by multiplying 1 row or 1 column of U by a scalar k, then det(V) = k det(U).

Let M be the matrix [5 4 -2 3; 5 7 -1 8; 5 7 6 10; 5 7 1 9]

Complete the following:

a) The determinant of M can be expressed as 5det A, where A is the 3*3 matrix defined as [3 1 5; 3 .... ....; 3 .... ....] (Matrix A to be completed).

b) The determinant of A can be expressed as 3det B ,where B is the 2*2 matrix defined as [7 2; 2 ....] (Matrix B to be completed)

c) The determinant of B is .........

d) Thus the determinant of M is ............

6. (5 pts) Row Operations to Evaluate a Determinant

Hint: In this exercise you have to use the following property: if a matrix V is obtained from a matrix U by multiplying 1 row or 1 column of U by a scalar k, then det(V) = k det(U).

Let M be the matrix [5 4 -2 3; 5 7 -1 8; 5 7 6 10; 5 7 1 9]

Complete the following:

a) The determinant of M can be expressed as 5det A, where A is the 3*3 matrix defined as [3 1 5; 3 .... ....; 3 .... ....] (Matrix A to be completed).

b) The determinant of A can be expressed as 3det B ,where B is the 2*2 matrix defined as [7 2; 2 ....] (Matrix B to be completed)

c) The determinant of B is .........

d) Thus the determinant of M is ............

Added by Joshua V.

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