Let {M}=\{{A}=(\table {a} ,{b} ;{c} , {d} ): {a}, {b}, {c}, {d} \\in\{\\pm3, \\pm2, \\pm1,0\}\}. Define {f}: {M} \\to{Z}, as {f}({A})={\det}({A}), for all {A} \\in{M}where {Z} is set of all integers. Then the number of A \\inM such that f(A)=15 is equal to ________. [25 Jul 2021 Shift 1]

Matrices and Determinants Part 2

Section: Mathematics

Question : 48 of 100

Marks: +1, -0

Let

M={A=(

a	b
c	d

):a,b,c,d∈{±3,±2,±1,0}}.

Define f:M→Z, as f(A)=det(A), for all A∈Mwhere Z is set of all integers. Then the number of A∈M such that f(A)=15 is equal to ________.

[25 Jul 2021 Shift 1]

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