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Let P=⎡⎢⎣3−1−220α3−50⎤⎥⎦, where α∈R. Suppose Q=[qij] is a matrix satisfying PQ=kI3 for some non-zero k∈R. If q23=−k8 and |Q|=k22, then α2+k2 is equal to

Answer» Let P=31220α350, where αR. Suppose Q=[qij] is a matrix satisfying PQ=kI3 for some non-zero kR. If q23=k8 and |Q|=k22, then α2+k2 is equal to


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