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C#, Fast and Comprehensive way to calculate if a matrix is a faithful representation of the projection of a vector

I have a set of vectors and I want to test if they are faithful representations of the projections of these vectors.
I was thinking of using a Hamming distance function as a metric, but I was wondering if there is a faster and more comprehensive way to do that.
To clarify, here is what I want to calculate. Let’s say I have a vector „v“ and a set of vectors {v_i} (with i = 1,…,n). I want to check if all these vectors have a projection that is consistent.
In other words, if I have:
$$\text{v} = \lambda_1*\text{v}_1 + \lambda_2*\text{v}_2 +… +

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Ram Lakhan (1989)
watch Ram Lakhan, Bhojpuri movie direction Subhash Ghai, starring Anil Kapoor, Jackie Shroff, Rakhee Gulzar, Madhuri Dixit. English & bhojpuri.
Ram Lakhan (Full Movie) is released in India in February 2019. The Movie running time is 2hr 54min. This movie did not get positive reviews so far, but Rakeeb Gulzar is so popular actress, and in some case, her acting is appreciated in bhojpuri movies..
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