Let M be a column vector (not null vector) and `A=(MM^T)/(M^TM)` the matrix A is : (where `M^T` is transpose matrix of M)

Let M be a column vector (not null vector) and `A=(MM^T)/(M^TM)` the m

1.	Let M be a column vector (not null vector) and `A=(MM^T)/(M^TM)` the matrix A is : (where `M^T` is transpose matrix of M)
Answer» `A=(mm^T)/(m^Tm)` `mmT=[[a],[b],[c]]_(31)[a,b,c]_(13)` `[[a^2,ab,ac],[ab,b^2,bc],[ac,bc,c^2]]_(33)` `m^Tm=[a,b,c]_(1*3)[[a],[b],[c]]=[a^2+b^2+c^2]` `A=1/(a^2+b^2+c^2)[[a^2,ab,ac],[ab,b^2,bc],[ac,bc,c^2]]` `=(a^2b^2c^2+a^2b^2c^2+a^2b^2c^2)-(a^2b^2c^2+a^2b^2c^2+a^2b^2c^2)` `A^m=0`.

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Let M be a column vector (not null vector) and `A=(MM^T)/(M^TM)` the matrix A is : (where `M^T` is transpose matrix of M)

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