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Sec 4.8 Example 1 Kernel, range, and rank-nullity… duration 18 minutes 2 seconds Sec 4.8 Example 1 Kernel, range, and rank-nullity… Sec 4.8 Example 1 Kernel, range, and rank-nullity for a linear transformation	Sec 4.8 Example 1 Kernel, range, and rank-nullity for a linear transformation Video provided for captions math-3010 domain dimension vectors kernel columns vector transformation range nullity plane thing rank things basis a. axis matrix column form definition From Bonnie Farrell 36 plays 0
Sec 4.5 Examples 2 and 3 duration 6 minutes 47 seconds Sec 4.5 Examples 2 and 3 Sec 4.5 Examples 2 and 3	Sec 4.5 Examples 2 and 3 Video provided for captions space vectors basis row columns column subspace dimension vector rank matrix form a. words span rows pivots echelon computations From Bonnie Farrell 34 plays 0
Sec 4.5 Example 1 duration 8 minutes 39 seconds Sec 4.5 Example 1 Sec 4.5 Example 1	Sec 4.5 Example 1 Video provided for captions math-3010 space row vectors column basis dimension columns rank vector a. form matrix force echelon subspace bit rows r31 span bases From Bonnie Farrell 34 plays 0
Sec 4.5 Examples 2 and 3 duration 6 minutes 47 seconds Sec 4.5 Examples 2 and 3 Sec 4.5 Examples 2 and 3	Sec 4.5 Examples 2 and 3 captions math-4011 space vectors row basis columns column dimension vector subspace form echelon rank matrix r^4 words span rows pivots a. From Bonnie Farrell 31 plays 0
4.5 Summary of important results related to rank duration 13 minutes 15 seconds 4.5 Summary of important results related to rank 4.5 Summary of important results related to rank	4.5 Summary of important results related to rank captions math-4011 rank matrix column vectors vector solution a. solutions variables plane equations space span situation rows scenario zeros columns picture From Bonnie Farrell 20 plays 0
Sec 4.8 Example 2 Kernel range and rank nullity duration 17 minutes 31 seconds Sec 4.8 Example 2 Kernel range and rank nullity Sec 4.8 Example 2 Kernel range and rank nullity	Sec 4.8 Example 2 Kernel range and rank nullity captions vectors dimension domain vector rank range transformation kernel matrix nullity component components basis space problem output things column question theorem From Bonnie Farrell 20 plays 0
Sec 4.8 Example 1 Kernel range and rank nullity… duration 18 minutes 2 seconds Sec 4.8 Example 1 Kernel range and rank nullity… Sec 4.8 Example 1 Kernel range and rank nullity for a linear transformation	Sec 4.8 Example 1 Kernel range and rank nullity for a linear transformation captions math-4011 domain dimension vectors kernel columns vector range transformation nullity plane thing rank things basis matrix axis a. column form From Bonnie Farrell 33 plays 0
Sec 4.5 Examples 2 and 3 duration 6 minutes 47 seconds Sec 4.5 Examples 2 and 3 Sec 4.5 Examples 2 and 3	Sec 4.5 Examples 2 and 3 captions space vectors basis row columns column dimension vector subspace form echelon rank matrix r^4 words span correspond rows pivots From Bonnie Farrell 20 plays 0
Sec 4.5 Example 1 duration 8 minutes 39 seconds Sec 4.5 Example 1 Sec 4.5 Example 1	Sec 4.5 Example 1 captions math-4011 space row vectors column basis dimension r^4 columns rank vector a. form matrix echelon 3d subspace bit rows r^3 rref From Bonnie Farrell 34 plays 0