Math Problem Statement
[2 points] Given two matrices A and B of size = 2* 2 such that detA = –56 and detB = –8, calculate the following determinant: det( 4A^ T *B^-1 )
Solution
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Math Problem Analysis
Mathematical Concepts
Linear Algebra
Determinants
Matrix Transpose
Matrix Inverse
Scalar Multiplication
Formulas
det(cA) = c^n * det(A)
det(A^T) = det(A)
det(B^-1) = 1 / det(B)
det(AB) = det(A) * det(B)
Theorems
Properties of Determinants
Transpose Theorem
Inverse Matrix Theorem
Suitable Grade Level
Undergraduate Linear Algebra
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