Determine a basis of the image and ther kernel of $g$ .
1770
Matrix $M_1 = M(f', \mathcal{B}, \mathcal{B '})$ of $f$
3543
Prove set is basis for $R^3$
140314
A module as an external direct product of the kernel and image of an idempotent function
59598
The vectors are orthonormal
66895
A condition for the image of a metrizable space to be metrizable
7127
Overview of basic results about images and preimages
156858
Kernel of powers of a normal operator
102084
How to show path-connectedness of $GL(n,\mathbb{C})$
34234
Kernel of injective group homomorphism
43170
inverse image of fiber product of scheme
107122
Compute $ad_X$, $ad_Y$, and $ad_Z$ relative to a basis
83815
Identify the universal property of kernels
140711
Linear independence of images by $A$ of vectors whose span trivially intersects $\ker(A)$
96530
Matrix representation of linear map in this basis
50037
Proving that kernels of evaluation maps are generated by the $x_i - a_i$
52596
A basis for $k(X)$ regarded as a vector space over $k$
865
Generalized RBF Kernels