Suppose X = ( array ll a & ~b c & ~d array ) satisfies the equation X 2 – 4X + 3I = O…
Mathematics · JEE Advanced · NTA Exams — Matrices and Determinants
Suppose \(\mathrm{X}=\left(\begin{array}{ll}
\mathrm{a} & \mathrm{~b} \\
\mathrm{c} & \mathrm{~d}
\end{array}\right)\)satisfies the equation
X2 – 4X + 3I = O.
Assertion : If a + d ≠ 4, then there are just two such matrix X.
Reason : There are infinite number of matrices X, satisfying X2 – 4X + 3I = O.
X2 – 4X + 3I = O.
Assertion : If a + d ≠ 4, then there are just two such matrix X.
Reason : There are infinite number of matrices X, satisfying X2 – 4X + 3I = O.
- If both assertion and reason are correct and reason is the correct explanation of assertion.
- If both assertion and reason are true but reason is not the correct explanation of assertion.
- If assertion is true but reason is false.
- If assertion is false but reason is true.
Answer
(B) If both assertion and reason are true but reason is not the correct explanation of assertion.
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