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2. If is invertible then so is .

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  1. If is invertible then so is .
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. If is invertible then is invertible.

A square matrix A is invertible if and only if

A square matrix A is invertible if and only ifQuestion 9Select one: 𝜆 = 1 𝑖𝑠 𝑎𝑛 𝑒𝑖𝑔𝑒𝑛𝑣𝑎𝑙𝑢𝑒 𝑜𝑓 𝐴.𝜆 = 0 𝑖𝑠 𝑎𝑛 𝑒𝑖𝑔𝑒𝑛𝑣𝑎𝑙𝑢𝑒 𝑜𝑓 𝐴. 𝜆 = 0 𝑖𝑠 𝑛𝑜𝑡 𝑎𝑛 𝑒𝑖𝑔𝑒𝑛𝑣𝑎𝑙𝑢𝑒 𝑜𝑓 𝐴.𝜆 = 1 𝑖𝑠 𝑛𝑜𝑡 𝑎𝑛 𝑒𝑖𝑔𝑒𝑛𝑣𝑎𝑙𝑢𝑒 𝑜𝑓 𝐴.

Determine those values of λ for which the matrix   1 λ 0 3 2 0 1 2 1   is not invertible

Which ones of the following linear transformations are NOT invertible? (Choose one or more)Question 12Select one or more:a.A𝐴 transforms the unit square [0,1]×[0,1][0,1]×[0,1] into a point (0,0)(0,0).b.A𝐴 transforms the unit square [0,1]×[0,1][0,1]×[0,1] into a square with vertices (0,0)(0,0), (2,0)(2,0), (1,1)(1,1), and (1,−1)(1,−1).c.A𝐴 transforms the unit square [0,1]×[0,1][0,1]×[0,1] into a rectangle with vertices (0,0)(0,0), (2,0)(2,0), (0,5)(0,5), and (2,5)(2,5).d.A𝐴 transforms the unit square [0,1]×[0,1][0,1]×[0,1] into the line segment from (0,0)(0,0) to (1,3)(1,3).

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