For matrix transformation T(x) = Ax, the rank of transformation T is the same as the rank of matrix A and the nullity of T is the same as the nullity of A. Let T : R° → R' be defined by T(x) = Ax...

For matrix transformation T(x) = Ax, the rank of transformation T is the same as the<br>rank of matrix A and the nullity of T is the same as the nullity of A.<br>Let T : R° → R' be defined by T(x) = Ax where A is given below.<br>[1<br>-1<br>1 0 07<br>2<br>A =<br>0 1<br>4<br>1<br>-5<br>0 0 1<br>3<br>2<br>0 0 0<br>What is rank(T)?<br>Ex: 5<br>What is nullity(T)? Ex: 5<br>

Extracted text: For matrix transformation T(x) = Ax, the rank of transformation T is the same as the rank of matrix A and the nullity of T is the same as the nullity of A. Let T : R° → R' be defined by T(x) = Ax where A is given below. [1 -1 1 0 07 2 A = 0 1 4 1 -5 0 0 1 3 2 0 0 0 What is rank(T)? Ex: 5 What is nullity(T)? Ex: 5

Jun 04, 2022

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For matrix transformation T(x) = Ax, the rank of transformation T is the same as the rank of matrix A and the nullity of T is the same as the nullity of A. Let T : R° → R' be defined by T(x) = Ax...

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