MATL, 21 20 19 bytes

Translation of @elementiro's MATLAB/Octave answer, with small modifications.

O4LZ(Gz:"2Y6Z+G*]aA

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MATL, 21 20 19 18 bytes

Translation of @elementiro's MATLAB/Octave answer, with small modifications.

The input is a binary matrix (using ; as row separator).

The output is either a row vector with all entries eqwual to 1 (which is truthy), or a row vector with at least one entry eqwual to 0 (which is falsy). The footer contains the truthiness/falsihood test.

O4LZ(Gz:"2Y6Z+G*]a

Try it online! Or verify all test cases.

MATL, 21 20 bytes

Translation of @elementiro's MATLAB/Octave answer, with small modifications.

O4LZ(Gz:"2Y6Z+G*]XaA

Try it online! Or verify all test cases.

MATL, 21 20 19 bytes

Translation of @elementiro's MATLAB/Octave answer, with small modifications.

O4LZ(Gz:"2Y6Z+G*]aA

Try it online! Or verify all test cases.

MATL, 21 bytes

Translation of @elementiro's MATLAB/Octave answer.

O4LZ(Gz:"2Y6Z+G*]JZ)a

Try it online! Or verify all test cases.

MATL, 21 20 bytes

Translation of @elementiro's MATLAB/Octave answer, with small modifications.

O4LZ(Gz:"2Y6Z+G*]XaA

Try it online! Or verify all test cases.