a. Consider a 4x4 matrix A. Add 0.6xRow 1 to row 2 to get B. Solve for det(B)
b.In general det(alpha x A) = Alpha x det(A). Does det(iA) = idet(A) also hold for complex numbers.
c. Let B=(Alpha x A)^Transpose where alpha is a constant. derive det(B^-1)

Question

a. Consider a 4x4 matrix A. Add 0.6xRow 1 to row 2 to get B. Solve for det(B)
b.In general det(alpha x A) = Alpha x det(A). Does det(iA) = idet(A) also hold for complex numbers. 
c. Let B=(Alpha x A)^Transpose where alpha is a constant. derive det(B^-1)

anonymous · Answer

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anonymous · Answer

for "a."  i know that the determinant of A is equal to det(B) since adding multiple rows doesn't change the determinant