Let A=[\table a_{1} ; a_{2}] and B=[\table b_{1} ; b_{2}] be two 2 \times 1 matrices with real entries such that A=X B, where X=\frac{1}\sqrt{3}[\table 1 , -1 ; 1 , k] and k \in R. If a_{1}^{2}+a_{2}^{2}=\frac{2}{3}(b_{1}^{2}+b_{2}^{2}) and (k^{2}+1) b_{2}^{2} \neq-2 b_{1} b_{2} then the value of k is .......... [16 Mar 2021 Shift 2]

Matrices and Determinants Part 2

Section: Mathematics

Question : 68 of 100

Marks: +1, -0

Let A=[

] and B=[

] be two 2×1 matrices with real entries such that A=XB, where X=‌

√3

[

1	−1
1	k

] and k∈R. If a12+a22=‌

(b12+b22) and (k2+1)b22≠−2b1b2 then the value of k is ..........

[16 Mar 2021 Shift 2]

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