isi-entrance 2018 Q7

isi-entrance · India · UGA Matrices True/False or Multiple-Select Conceptual Reasoning

Let $A$ be a square matrix of real numbers such that $A ^ { 4 } = A$. Which of the following is true for every such $A$?
(A) $\operatorname { det } ( A ) \neq - 1$
(B) $A$ must be invertible.
(C) $A$ can not be invertible.
(D) $A ^ { 2 } + A + I = 0$ where $I$ denotes the identity matrix.

Let $A$ be a square matrix of real numbers such that $A ^ { 4 } = A$. Which of the following is true for every such $A$?\\
(A) $\operatorname { det } ( A ) \neq - 1$\\
(B) $A$ must be invertible.\\
(C) $A$ can not be invertible.\\
(D) $A ^ { 2 } + A + I = 0$ where $I$ denotes the identity matrix.

Paper Questions

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