Question 7 • Advanced Algebra: Concepts and Connections
Given matrices S and T , which statement is true? cap s is equal to the 2 by 2 matrix, row 1, column 1, 4 column 2, 11 row 2, column 1, negative 3 column 2, negative 8 cap t is equal to the 2 by 2 matrix, row 1, column 1, negative 8 column 2, negative 11 row 2, column 1, 3 column 2, 4
Answer
A
Matrices S and T are inverses of each other because the determinant of S is 1 .
B
Matrices S and T are not inverses of each other because the determinant of S equals the determinant of T .
C
Matrices S and T are not inverses of each other because cap s plus cap t is not equal to cap i .
D
Matrices S and T are inverses of each other because cap s cap t is equal to cap t cap s is equal to cap i .