prove that the symmetric projection is always orthogonal. answer : we have: null(A)=ran(At) then A=At so null(A)=ran(A)
2026-03-29 17:24:43.1774805083
prove that the symmetric projection is always orthogonal.
125 Views Asked by Bumbble Comm https://math.techqa.club/user/bumbble-comm/detail At
1
There are 1 best solutions below
Related Questions in ORTHOGONALITY
- Functions on $\mathbb{R}^n$ commuting with orthogonal transformations
- Proving set of orthogonal vectors is linearly indpendent
- Find all vectors $v = (x,y,z)$ orthogonal to both $u_1$ and $u_2$.
- Calculus III Vector distance problem.
- Is there a matrix which is not orthogonal but only has A transpose A equal to identity?
- Number of Orthogonal vectors
- Find the dimension of a subspace and the orthogonality complement of another
- Forming an orthonormal basis with these independent vectors
- orthogonal complement - incorrect Brézis definition
- Orthogonal Projection in Inner Product
Related Questions in SYMMETRIC-MATRICES
- $A^2$ is a positive definite matrix.
- Showing that the Jacobi method doesn't converge with $A=\begin{bmatrix}2 & \pm2\sqrt2 & 0 \\ \pm2\sqrt2&8&\pm2\sqrt2 \\ 0&\pm2\sqrt2&2 \end{bmatrix}$
- Is $A-B$ never normal?
- Is a complex symmetric square matrix with zero diagonal diagonalizable?
- Symmetry of the tetrahedron as a subgroup of the cube
- Rotating a matrix to become symmetric
- Diagonalize real symmetric matrix
- How to solve for $L$ in $X = LL^T$?
- Showing a block matrix is SPD
- Proving symmetric matrix has positive eigenvalues
Related Questions in ORTHOGONAL-MATRICES
- Minimum of the 2-norm
- Optimization over images of column-orthogonal matrices through rotations and reflections
- Functions on $\mathbb{R}^n$ commuting with orthogonal transformations
- A property of orthogonal matrices
- Rotating a matrix to become symmetric
- Question involving orthogonal matrix and congruent matrices $P^{t}AP=I$
- Finding An Orthogonal Transformation Matrix
- Which statement is false ?(Linear algebra problem)
- Every hyperplane contains an orthogonal matrix
- Show non-singularity of orthogonal matrix
Related Questions in PROJECTION
- What's wrong with my reasoning regarding projections
- Finding the orthogonal projection of a vector on a subspace spanned by non-orthogonal vectors.
- Coordinates of camera bounding box projected on another object.
- Bounded projection
- Deriving principal component out of cosine similarity
- Projection onto the space spanned by eigenfunctions in a Hilbert space
- Show that T - I is a projection.
- Pose estimation from 2 points and known z-axis.
- Non orthogonal projection of a point onto a plane
- Mercator projection - Use existing equation to solve for degrees
Trending Questions
- Induction on the number of equations
- How to convince a math teacher of this simple and obvious fact?
- Find $E[XY|Y+Z=1 ]$
- Refuting the Anti-Cantor Cranks
- What are imaginary numbers?
- Determine the adjoint of $\tilde Q(x)$ for $\tilde Q(x)u:=(Qu)(x)$ where $Q:U→L^2(Ω,ℝ^d$ is a Hilbert-Schmidt operator and $U$ is a Hilbert space
- Why does this innovative method of subtraction from a third grader always work?
- How do we know that the number $1$ is not equal to the number $-1$?
- What are the Implications of having VΩ as a model for a theory?
- Defining a Galois Field based on primitive element versus polynomial?
- Can't find the relationship between two columns of numbers. Please Help
- Is computer science a branch of mathematics?
- Is there a bijection of $\mathbb{R}^n$ with itself such that the forward map is connected but the inverse is not?
- Identification of a quadrilateral as a trapezoid, rectangle, or square
- Generator of inertia group in function field extension
Popular # Hahtags
second-order-logic
numerical-methods
puzzle
logic
probability
number-theory
winding-number
real-analysis
integration
calculus
complex-analysis
sequences-and-series
proof-writing
set-theory
functions
homotopy-theory
elementary-number-theory
ordinary-differential-equations
circles
derivatives
game-theory
definite-integrals
elementary-set-theory
limits
multivariable-calculus
geometry
algebraic-number-theory
proof-verification
partial-derivative
algebra-precalculus
Popular Questions
- What is the integral of 1/x?
- How many squares actually ARE in this picture? Is this a trick question with no right answer?
- Is a matrix multiplied with its transpose something special?
- What is the difference between independent and mutually exclusive events?
- Visually stunning math concepts which are easy to explain
- taylor series of $\ln(1+x)$?
- How to tell if a set of vectors spans a space?
- Calculus question taking derivative to find horizontal tangent line
- How to determine if a function is one-to-one?
- Determine if vectors are linearly independent
- What does it mean to have a determinant equal to zero?
- Is this Batman equation for real?
- How to find perpendicular vector to another vector?
- How to find mean and median from histogram
- How many sides does a circle have?
Hint: In general, we have $\ker(A) = \operatorname{im}(A^T)^\perp$ (ker denotes the kernel/nullspace and im denotes the image/column-space)