Let A=I_2-2 {\MM}^T, where {\M} is real matrix of order 2 \times 1 such that the relation {\M}^{ {\T}} {\M}= {\I}_1 holds. If \lambda is a real number such that the relation A X=\lambda X holds for some non-zero real matrix X of order 2 \times 1, then the sum of squares of all possible values of \lambda is equal to : [1-Feb-2024 Shift 2]

Matrices and Determinants Part 3

Section: Mathematics

Question : 15 of 100

Marks: +1, -0

Let A=I2−2MMT, where M is real matrix of order 2×1 such that the relation MTM=I1 holds. If λ is a real number such that the relation AX=λX holds for some non-zero real matrix X of order 2×1, then the sum of squares of all possible values of λ is equal to :

[1-Feb-2024 Shift 2]

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