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Step 1 Given matrices are, U=[2233−22330−33] and x=[12] Step 2 Now the multiplication of the matrices is, Ux=[2233−22330−33][12]=[22+233−22+233−233] Step 3 Norm of the matrix is, ‖Ux‖=‖[22+233−22+233−233]‖=(22+233)2+(−22+233)2+(−233)2 =24+129+222232+24+129−222232+129 =12+43+12+43+43=1+123=5 Step 4 Therefore, norm of the matrix is, ‖Ux‖=5
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Let M∈R10×10,s.t.M2020=0. Prove M10=0
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