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[5+5=10 points Another block matrix problem. Consider B M BT I where B is m x n (note that the upper left corner is the

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[5+5=10 points Another block matrix problem. Consider B M BT I where B is m x n (note that the upper left corner is the m x m identity, while the lower right corner is the n x n identity). (a) Show that if I - B''B is invertible then M is also invertible. (b) Show that if I - BB is singular then M is also singular

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