Let X and Y be two matrices with 4 rows and 5 columns. The rank of X and Y is 3. May I ask how to get the lower bound and upper bound of the rank of X_T*Y? Besides, how to proved it?

Q: 2 1 1 131 1 M = 1 1 1 4 1 1 1 n+1

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Q: Can someone help me answer this question with all the steps thank you.

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Q: 1. Consider the matrices -3 0 2-2 A₁ ¹ = ( ₁ ) ₁4₂ = ( −8 −2 ) ₁4₁ = ( −² − ²). 4 1 13 , , A3 0 -2…

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Q: 3.2 Exercises PS2.9 Consider the matrices: A = (a) -2A (b) B-2A 0 -5 -1 -5 B-4 0-1 C= = Compute each…

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Q: A and B are 3,3 matrices. Lo lAl =-3 and IBl =2. SO phat is l-2A02|?

A: Properties of determinant:kA=knAAB=ABA-1=1A

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Q: Explain Equality of matrices. Give a suitable example.

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Q: 2. Let A = cola (b) Find lim A". 84x 3 9 4 5 (a) Find a matrix B so that B² = A.

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