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Recent questions in Matrix transformations

snowlovelydayM 2021-01-13

Let $A = (1, 1, 1, 0), B = (- 1, 0, 1, 1,), C = (3, 2, - 1, 1)$
and let $D = {Q \in R^{4} | Q ⊥ A, Q ⊥ B, Q ⊥ C}$ .
Convince me that D is a subspace of $R^{4}$ . Write D as span of a basis. Write D as a span of an orthogonal basis

Phoebe 2020-12-25

a) Let A and B be symmetric matrices of the same size.
Prove that AB is symmetric if and only $A B = B A .$
b) Find symmetric $2 \cdot 2$
matrices A and B such that $A B = B A .$

Lewis Harvey 2020-12-21

Check $(21, 00), (00, 20), (3 - 1, 00), (03, 01)$ is a bais for M22 or not?

York 2020-12-15

Find the values of k for which A is not invertible. Enter all values exactly in fractional form.
$A = [1, k, 0, 9, 1, 9, 0, k, 1]$

Kaycee Roche 2020-12-06

Use the weighted Euclidean inner product on $R^{2}$ $‹ u, v › = 99 u_1 v_1 + 5 u_2 v_2$ where $u = (u_{1}, u_{2})$ and $v = (v_{1}, v_{2})$ , to find $| | w | |$ , where $w = (- 1, 3)$ .

UkusakazaL 2020-12-03

Show that if A and B are an n n matrices such that AB =O (where O is the zero matrix) then A is not invertible or B is not invertible.

smileycellist2 2020-11-24

Let n be a fixed positive integer greater thatn 1 and let a and b be positive integers. Prove that a mod n = b mon n if and only if a = b mod.

ka1leE 2020-11-20

Find the standard inner product on $P^{2}$ of the given polynomials $p = - 5 + 4 x + x^{2}, q = 3 + 4 x - 2 x^{2}$ .

banganX 2020-11-08

Prove that: If A or B is nonsingular, then AB is similar to BA

Joni Kenny 2020-11-03

Find the matrix of the linear mapping. $L (x, y, z) = (x + y + z)$

If you are dealing with linear algebra, the chances are high that you will encounter various questions related to matrix transformation. Turning to matrix transformation examples, you will also encounter various geometric transformations, yet these will always be based on algebraic analysis and calculations. The answers that we have presented to various challenges will help you to compare our solutions with your unique matrix transformation example that deals with linear transformation and mapping. Visual assistance is also included and will be essential to see how these are built with the help of the column vectors.

Linear algebra

Matrix Transformation Examples and Practice Problems