A 3 by 3 matrix B is known to have eigenvalues -1, 2, 3. This information is enough to find: (a) the rank of B: (b) the determinant of BTB: (c) the eigenvalues of (B² + I)-¹: "

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Q: A = -53 -70 35 45

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Q: The trace and determinant of a 2 x 2 matrix are known to be -2 and -35 respectively. Its eigenvalues

A: solution :given that trace=-2and determinant =-35 of a 2×2 matrix .we know that trace =…