
Matrix Operations (10/6/04)
... If A is a square matrix, then by the k th power of A (denoted A k ) we mean A A … A k times. By A 0 we simply mean the identity matrix In . If A is any matrix (m by n, say), the transpose of A, denoted AT, is the n by m matrix whose (j, i) entry is the (i, j) entry of A. ...
... If A is a square matrix, then by the k th power of A (denoted A k ) we mean A A … A k times. By A 0 we simply mean the identity matrix In . If A is any matrix (m by n, say), the transpose of A, denoted AT, is the n by m matrix whose (j, i) entry is the (i, j) entry of A. ...
Solutions
... A common mistake was to find the value of the other constant to be c ln 2 which is correct, but to leave the ± in the answer. Since you are being asked for a specific solution, you have to say whether it is plus or minus. It cannot be both. In this case, the correct sign is minus. ...
... A common mistake was to find the value of the other constant to be c ln 2 which is correct, but to leave the ± in the answer. Since you are being asked for a specific solution, you have to say whether it is plus or minus. It cannot be both. In this case, the correct sign is minus. ...