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Úkol 1 Vector space is c2,2, and standard basis = (E₁, E2, E3, E₁) and basis.x = (X₁, X2, X3, X₁) ay = (Y₁, Y2, Y3. Y₁), where - (12) (x₁)x=

X₁ = -(67) =(₂9) * = (32) 1. find A. 2. find 3. find 4. 5. (B)y- (E₁)x- (E₂)y- 0 there are matrixes A € C²,2 a B € C²,2 jako find find basis in space 15. prosince 2023 C2,2 (Y₂)x= (A)₂ = 0 2, which contains 3 X₁, Y2, E3. (Ys)x= (B) = (1) 0 0 10 18 15 7 (Y4)x= -3 -2 -1

Fig: 1