Let A=\left[\begin{array}{ccc}2 & 0 & 1 \ 1 & 1 & 0 \ 1 & 0 & 1]\end{array}, B= [B_1, B_2, B_3], where B_1, B_2, B_3 are column matrices, and {\AB}_1=\left[\begin{array}{c}1 \ 0 \ 0]\end{array}, {\AB}_2=\left[\begin{array}{c}2 \ 3 \ 0 ]\end{array}, {\AB}_3=\left[\begin{array}{c}3 \ 2 \ 1 ]\end{array} If \alpha=|B| and \beta is the sum of all the diagonal elements of B, then \alpha^3+\beta^3 is equal to [27-Jan-2024 Shift 1]

JEE Main 27-Jan-2024 Shift 1 Solved Paper

Section: Mathematics

Question : 29 of 90

Marks: +1, -0

Let A=[

],B=[B1,B2,B3], where B1, B2,B3 are column matrices, and AB1=[

],
AB2=[

],AB3=[

]
If α=|B| and β is the sum of all the diagonal elements of B, then α3+β3 is equal to

[27-Jan-2024 Shift 1]

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