We have encoded messages by assigning the letters of the alphabet the numbers 1-26, with a blank assigned the number 27, and by using an encoding matrix A that converts the numbers to the coded message. To decode any message encoded by A, we must find the inverse of A, denoted by A-1, and multiply A-1 times the coded message. Use this code and the given encoding matrix A to find the matrix that can be used to decode the given message.
The code matrix is 
. The message is 33, 132, 214, 22, 110, 203, 34, 132, 201.
Definitions:
Sigmund Freud
An Austrian neurologist and the founder of psychoanalysis, a clinical method for treating psychopathology through dialogue between a patient and a psychoanalyst.
Lithium Carbonate
A drug frequently given to people suffering from bipolar disorder.
Mania
A mental health condition characterized by periods of extreme mood elevation, energy, and behavior that is unusually intense and can impair daily functioning.
Hallucinations
Perceptions or sensations experienced without an external stimulus, often vivid and seemingly real.
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