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If A is a square matrix such that |A| = -2, then |AAᵀ|, where Aᵀ is the transpose of A, is equal to?#NDA #NDA2026 #NDAMaths #NDAExam #Maths #Matrices #Determinants #NDAQuestions #NDAPreparation #DefenceAspirants

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00:00Here in the question you have given a pie matrix, its determinant is minus two, so we get an 2.
00:07If the valley of that determinant of the at ramp has been asked then there can be two ways to solve the separation
00:14First you know Sidya Identity
00:16However, if we have normal friends then the first friend is what is the identity of the future, we know that there is no need to worry about ramprose.
00:24How can we write the determinant of into at ramprose? We can also write it as eka determinant into
00:30at ramp
00:46When one makes any argument like a is equal to a b c d now try
00:55What will be the pose? Whatever tears are there in the Prajan pose, they become columns and whatever becomes columns, they become rows.
01:01If it is made then what will it become, its first row, this will become the first column.
01:06Know that a b and second and second column c d so finally we have this
01:14a transpose Now let us multiply a into a transpose
01:21So simply give us the value of the determinant of a minus 2, that is, a d minus b c
01:30is equal to minus 2 so transpose a into a
01:34Multiply a c b d into a b c d. We know how to multiply a matrix. This is first.
01:47Kolam means it becomes a square plus b square
01:53h c this next h c plus b d h c plus b d and this becomes h
02:01c plus b d and also c square plus d square
02:10Now forward it, simply open the letter and it will be created.
02:15a square c square plus b square d square plus a square d square plus b square c square
02:26minus a square c square minus b square d square minus 2 a b c d this is a square c
02:42square this
02:45This becomes a square d square plus b square c square minus 2 a b c d
02:57can write
02:582 a d b c So now what does this look like if we let a d be x
03:04and let b c be y then we have
03:07This shows the identity of the square of x minus y, meaning the identity of a minus b that x minus
03:15y
03:16of whole square is equal to x square plus y square minus 2 x y can be seen a d
03:24a square d square
03:25plus b square c square minus 2 a d b c so then what does this become in the question a
03:34d minus b of c
03:36If the value of whole square a d minus b c is minus 2 then whole square of minus 2 is equal
03:42to 4
03:44Afir
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