🤖 [master] Bump the LinearAlgebra stdlib from e7da19f to f781708 (#57522)

Stdlib: LinearAlgebra
URL: https://github.com/JuliaLang/LinearAlgebra.jl.git
Stdlib branch: master
Julia branch: master
Old commit: e7da19f
New commit: f781708
Julia version: 1.13.0-DEV
LinearAlgebra version: 1.12.0(Does not match)
Bump invoked by: @KristofferC
Powered by:
[BumpStdlibs.jl](https://github.com/JuliaLang/BumpStdlibs.jl)

Diff:
JuliaLang/LinearAlgebra.jl@e7da19f...f781708

```
$ git log --oneline e7da19f..f781708
f781708 use the custom sysimage when running documentation (and doctests) as well (#1226)
8fdbfd5 Add `getindex` for `SymTridiagonal` using a `BandIndex` (#1223)
91b8845 Use `BandIndex` directly in `diagzero` call in `getindex` (#1222)
ef7ef3a Restrict triangular type aliases to `AbstractMatrix`es (#1220)
af7a9ac Use `BandIndex` directly in `diagzero` call in `getindex` for banded matrices
579b5f7 Specialize Diagonal * Adjoint (#1207)
5cf41c4 Indirection in matrix multiplication to avoid ambiguities (#1210)
0a9c164 Remove specialized `issymmetric`/`ishermitian` for `Diagonal{<:Number}` (#1213)
ff5648a Make unitary matrices in `svd`/`eigen` of `Diagonal` be unitless (#1155)
e096a03 Don't mutate arrays in symmetric trig functions (#1206)
c234bed Loop over `diagind` in `diag` for banded matrices (#1211)
57785c7 More resizing for truncating return values from LAPACK (#1190)
b464203 Materialize adjoint in mul with `HermOrSym` (#1191)
16d9d61 Restrict Diagonal sqrt branch to positive diag (#1203)
baa48b7 Verbose `showerror` for `SingularException` (#1204)
e0b59a7 Remove `LinearAlgebra` qualifications in `cholesky.jl` (#1209)
95d009b Remove `LinearAlgebra` qualifications in `cholesky.jl`
c550974 change to pivot
ed35a37 Add fast path in generic matmul (#1202)
8c7fe68 Detailed `showerror` for `SingularException`
2a1696a Explicitly declare type constructor imports (#1196)
101f766 Added note to BLAS.[g|s]et_num_threads about Apple Accelerate not supporting it  (#1195)
5aca26f Simplify `getproperty` for `Cholesky*` (#1197)
924dda4 remove copy-allocation on accessing `cholesky` factors (`.L`, `.U`) (#1186)
6f02532 Use `BLAS.trsm!` instead of `LAPACK.trtrs!` in left-triangular solves (#1194)
```

Co-authored-by: KristofferC <[email protected]>

Author: DilumAluthgeBot

deps/checksums/LinearAlgebra-e7da19f2764ba36bd0a9eb8ec67dddce19d87114.tar.gz/md5

@@ -0,0 +1 @@
+f82c7834ae58e2a9c4182f614b54b9f2

deps/checksums/LinearAlgebra-e7da19f2764ba36bd0a9eb8ec67dddce19d87114.tar.gz/sha512

@@ -0,0 +1 @@
+fc953c21c16f0ff9ec50ab4d65cc8ea5ffdabed1ce28b615e85b0ebe782d67af83a3480d6a0c0a9c6c38ea9a041416111ed328d6e00da334132c1eaaa0cf9fc3

deps/checksums/LinearAlgebra-f781708fffbd7e74ff17686c334ddd4f22d75a2c.tar.gz/md5

@@ -1,4 +1,4 @@
 LINEARALGEBRA_BRANCH = master
-LINEARALGEBRA_SHA1 = e7da19f2764ba36bd0a9eb8ec67dddce19d87114
+LINEARALGEBRA_SHA1 = f781708fffbd7e74ff17686c334ddd4f22d75a2c
 LINEARALGEBRA_GIT_URL := https://github.com/JuliaLang/LinearAlgebra.jl.git
 LINEARALGEBRA_TAR_URL = https://api.github.com/repos/JuliaLang/LinearAlgebra.jl/tarball/$1